Question

what is the largest number that divides into 26 and 37 leaving a remainder of 4 in each case?​

Answer 1

Answer:

Prime factors of 4,7 and 13

4=2×2

7 and 13 are prime numbers

LCM (4,7,13)=364

we know that, the largest 4 digit number is 9999.

Step 1 : divide 9999 by 364, we get

364

9999

=171

Step 2: subtract 171 from 9999

9999−171=9828

Since a remainder of 3 is to be left

9282+3=9831

therefore 9831 is the number.