Question

Find the greatest number that will divide 300 and 185 leaving remainder at 6 and 3 respectively

Answer 1

In the question, the greatest number means HCF i.e. Highest Common Factor.


Firstly, we will subtract 6 from 300 and 3 from 185

300 = 300 - 6 = 294

185 = 185 - 3 = 182


Secondly, we will find the HCF of the obtained numbers i.e. of 294 and 182

294 = 2 × 3 × 7 × 7

182 = 2 × 7 × 13

Common factors = 2 × 7 = 14

HCF = 14


We got HCF, so ultimately we got the greatest number



$\therefore{}$ $\bold{The \: greatest \: number \: is \: 14}$

Answer 2

here is your answer OK ☺☺☺☺☺

●_●we see in the question 300 remainder is 6

♥then 185 remainder is 3

☜☆☞so equation is here 300-6 = 294

then......................... 185-3 = 182

so we product of 294 and 182

so 294 = 2 x 3 x 3 x 7
....182 =2 x 7 x 13

so greatest common factor is 2 x 7 = 14

answer will be 14 OK......☺☺☺☺