Question

find the greatest number that will divide 262 and 334 and leave a remainder 10 in each case .solve it

Answer 1

hi

aim : Find the greatest number that will divide 262 and 334 and leave a remainder 10 in each case .solve it

so,

262 - 10 = 252

334 - 10 = 324

so the numbers are 252 and 324

now lets find the hcf of  252 and 324

252 =  2 x 2 x 3 x 3 x 7

324 = 2 x 2 x 3 x 3 x 3 x 3

hcf = 2×2×3×3

hcf = 36

hence 36 is the greatest number that will divide 262 and 334 and leave a remainder 10 in each case

hope it helps u

:0

Answer 2

Hi there !!

First leave the remainder 10

so ,subtract 262 -10 =252

334-10= 324

Now find hcf of 324 and 252

$252 = {2}^{2} \times {3}^{2} \times 7 \\ \\ 324 = 2 {}^{2} \times {3}^{4} \\ \\ commom \: factor \: is \: {2}^{2} \times {3}^{2} \\ \\ans \: \:is \: 36$

Thanks ❣️❣️