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# what is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?

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### Mohammed

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## Find the Largest Number which Divides 70 and 125, Leaving Remainders 5 and 8 Respectively

Find the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is: - Find the answer to this question and access a vast question bank that is customised for students. ## Find the Largest Number which Divides 70 and 125, Leaving Remainders 5 and 8 Respectively

Find the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is: - Find the answer to this question and access a vast question bank that is customised for students.

### Find The Largest Number Which Divides 70 And 125, Leaving Remainders 5 and 8 Respectively Is:

To find the solution to this question, we simply need to follow the steps that have been stated below:-

Firstly, deduct the remainders specified in the question itself from their respective numbers.

Then, work out the factors of each resulting number that we got above by deducting the given remainders.

And then ultimately, find the HCF (Highest Common Factor) of those resulting numbers which will be your final answer.

Here is the detailed step by step solution to this question which will be super convenient for your ease of understanding to make you capable of performing the similar questions faced in the future:-

Firstly, subtract the remainders from their respective numbers as follows:

On subtracting 70 from its remainder, we get 70 – 5 =65

On subtracting 125 from its remainder, we get 125 – 8 =  117

Then, take out the factorisation of these numbers (65 and 117) and write down the resulting factors as follows:

The resulting factors of 65 = 5 * 13

The resulting factors of 117 = 3 * 3*13

Now, in the final step so as to reach the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, work out the HCF (Highest Common Factor) of 65 and 117 as follows:

65 = 5 * 13 117 = 3 * 3*13

So, we can see from the above factorisation that the Highest Common Factor of the numbers 65 and 117 is 13.

Hence, 13 is the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively.

## Find the largest number which divides 70 and 125 leaving remainders 5 and 8 respectively Maths Q&A

Find the largest number which divides 70 and 125 leaving remainders 5 and 8 respectively Get the answer to this question and access a vast question bank that is tailored for students. Finding HCF Using Common Factors

Find the larg... Question

Find the largest number which divides 70 and125 leaves remainders 5 and 8 respectively.

Open in App Solution

Solve for the HCF of the given numbers

The largest number which divides 70 and125, leaving remainders 5 and 8 respectively.

70-5=65 125-5=120

H.C.F of 65 and 117 will be given as,

Factors of 65=1,5,13,65

Factors of 117=1,3,9,13,39,117

Common Factors =1,13

Highest Common factor =13

Hence, the largest number that divides70 and125, leaving remainders5 and 8, respectively is 13.

Suggest Corrections 29 SIMILAR QUESTIONS

Q.

The largest number which divides 70 and 125 leaving remainders 5 and 8, respectively is

Q. Question 5

The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is

A) 13 B) 65 C) 875 D) 1750

Q.

Find the largest number which divides 320 and 457, leaving remainders 5 and 7 respectively.

Q.

What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively ?

(a) 13 (b) 9 (c) 3 (d) 585

Q.

Question 5

The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is

A) 13 B) 65 C) 875 D) 1750 View More

स्रोत : byjus.com

## The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is :

Click here👆to get an answer to your question ✍️ The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is : Question

A

B

C

D

## 1750

Medium Open in App Solution Verified by Toppr

Correct option is A)

Step -1: Subtracting remainders from the given numbers.

As 70 leaves remainder 5 when divided by the required largest number.

⇒The largest number will completely divide 70−5=65.

And 125 leaves remainder 8 when divided by the required largest number.

⇒The largest number will also completely divide 125−8=117.

Step -2: Finding H.C.F. of 65 and 117.

Factors of 65=5×13

Factors of 117=3×3×13

∴The H.C.F. of 65 and 117 is 13.

Hence, 13 is the required largest number.

Hence, correct option is A.