Question

find the largest number which divides 245 and 1029 leaving reminder 5 in each case

Answer 1

Let the largest no be X
Then
1029/x...1
245/x...2
A.T.Q
if largest no divides leave r=5
We only need to take eqn 2
so.
245/x=5
x=49
Therefore largest no x=49

Answer 2

Answer:

Given that:-

245 and 1029 leaving remander 5

To find:-

The Largest Number which divides 245 and 1029

$\huge{\sf{\boxed{\boxed{Solution:}}}}$

=> Subtract 5 from each number

245 - 5 = 240

1029 - 5 = 1024

HC.F of 240 & 1024 by Euclid division lemma.

(a = bq + r)

Here, a = 1024  & b = 240

Putting the values

a = bq + r

⇒ 1024 = 240 × 4 + 64

⇒ 240 = 64 × 3 + 48

⇒ 64 = 48 × 1 + 16

⇒ 48 = 16 × 3 + 0

H.C.F is 16

Hence,

The required number is 16.