Question

Find the largest number which exactly divides 280 and 1245 leaving remainders 4 and 3 respectively? answer with full process and no spamming

Answer 1

To find the largest number which exactly divides 280 and 1245 living remainders 4 and 3 respectively, we subtract 4 and 3 from 280 and 1245.

280 - 4 = 276
1245 - 3 = 1242

276 = 2 x 2 x 3 x 23
1242 = 2 x 3 x 3 x 3 x 23

HCF = 2 x 3 x 23 = 138

Therefore, the largest number which exactly devides 280 and 1245 living remainders 4 and 3 respectively is 138.

Answer 2

first,we subtract 4 and 3 to 280,1245
280-4=276
1245-3=1242
276=2×3×23
1242=2×3×3×3×23
HCF=2×3×23=138