Question

find the greatest number which divides 178 and 234 leaving a remainders of 2 and 3

Answer 1

Answer:

11

Step-by-step explanation:

greatest number which divides 178 and 234 leaving a remainders of 2 and 3

=>  the  greatest number which divides 178 - 2   & 234 - 3

=>  the  greatest number which divides  176  & 231

176 = 2 * 2 * 2 * 2 * 11

231 = 3 *  7 * 11

HCF = 11

Greatest Divisor = 11

178 = 11 * 16  + 2

234 = 11 * 21  + 3

11 is the greatest number which divides 178 and 234 leaving a remainders of 2 and 3

Answer 2

Answer:

11

Step-by-step explanation:

given Find the greatest number which divides 178 and 234 leaving a remainders of 2 and 3

We need to find the greatest number which divides 178 and 234. So we need to find the greatest common factor.

The numbers are 178 - 2 = 176 and 234 - 3 = 231

We need to find the factors of 176 and 231

176 = 2 x 2 x 2 x 2 x 11

231 = 3 x 7 x 11

So hcf is 11

Therefore the largest number that divides 178 and 234 leaving remainder 2 and 3 is 11