Question

Find the greatest number which divide 208 and 358 to give a remainder 8 in each case ​

Answer 1

Given:

number which divide 208 and 358 to give a remainder 8 in each case ​

To find:

Find that number

Solution:

As per the given condition you have to find the greatest number which divide the given terms and gives the remainder 8 in each case

to get the number reduce the 8 form the given number to get the greatest number by finding the HCF of the obtained number

We get the numbers as:

• 208-8 = 200
• 358-8 = 350

Now find the HCF[200, 350]by the prime factorization

• 200 = 2×2×2×5×5
• 350 = 2×5×5×7

HCF[200, 350] = 2×5×5 = 50

So,

the greatest number is 50