0

Guest

Courses New

Find the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is:

Find the largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is:

Grade:12th pass

2 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
Subtracting the remainder from the given numbers and finding the highest common factor gives the greatest number. That gives us the largest number. We have to subtract because above it was mentioned that the number divides the given number and leaves a remainder that means remainder is subtracted to get the number which is divisible by the largest number. Complete step-by-step solution - Let us consider the number 70 first, Here it was given that 70 when divided by the greatest number leaves the remainder as 5. Similarly the number 125 when divided by the greatest number leaves the remainder as 8. Now Considering 70 again. The greatest number divides 70 and leaves the remainder as 5, that means we have to subtract 5 from 70. 70−5=65 . Now writing the factors for 65 we get, 65=13×5 The greatest number divides 125 and leaves the remainder as 8, that means we have to subtract 8 from 125. 125−8=117 . Now writing the factors for 117 we get, 117=3×3×13 . To find the greatest number that divides the 2 numbers, we have to find H.C.F (Highest common factor). 65=13×5 . 117=3×3×13 . H.C.F of 70 and 125 is 13 . Therefore the greatest number that divides 70 and 125 by leaving remainder 5 and 8 is 13. Note: This is a direct problem with finding the greatest number by writing the factors. The basic step here is to subtract the remainder and then find the greatest number. Highest common factor gives the greatest number that divides the given number.
nanditha jampala
19 Points
2 years ago
Explanation:
First find the LCM( Least Common Multiple) of 70 and 125 which is 1750 , then add 5 and 8 to the 1750
 
= 1755
= 1758

Think You Can Provide A Better Answer ?

Other Related Questions on 6 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More