Question

Find the greatest number which when divides 259 and 465 leaves remainders 4 and 6 respectively.

Pls answer quick

Answer 1

Answer:

The greatest number which when divides 259 and 465 leaves remainders 4 and 6 is 255 and 459..

Step-by-step explanation:

Here, the numbers 259 and 465 leave the remainders 4 and 6 respectively. So, the required number will be obtained by finding the H.C.F. of 259 – 4 = 255 and 465 – 6 = 459.

Answer 2

Answer:

no are 259 and 465

reminders 4and 6

completely divisible no= 255and 459

the greatest number which when divides 259and 459 leaves remainder 4and 6 are

HCF of 255 and 459

using euclids division lemna

I.e: a=bq+r

459=255×1+204

255=204×1+51

204=51×4+0

HCF=51

Hence the greatest number is :51