Question

Find the largest number wch divides 245 and 1029 leaving reminder 5 in each case

Answer 1

245-5=240
1029-5=1024
Since 1024>240
HCF(1024,240)=16
Therefore, 16 is the largest no. that divides 245 and 1029 leaving a remainder in each case.

Answer 2

Answer:

Given that:-

• 245 and 1029 leaving remander 5

To find:-

• The Largest Number which divides 245 and 1029

Solution:

• => Subtract 5 from each number

245 - 5 = 240

1029 - 5 = 1024

HC.F of 240 & 1024 ( By Euclid division lemma.)

(a = bq + r)

Now

• 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,

$\bold{The\:required\:number\:is\:16.}$