Question

Find the largest number which divides 245 and 1205 leaving the remainder 5 in each case.

Answer 1

Answer:

Step-by-step explanation:

it is given that 5 is reminder so subtract 5 from each and find their HCF

that is hcf of 240 and 1200

240=2*2*2*2*3*5

1200=2*2*2*2*3*5*5

hcf=2*2*2*2*3*5=240

hope it helps

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Answer 2

Given,

Number 1 = 245

Number 2 = 1205

To Find,

The largest number divides both given numbers leaving the remainder 5 in each case =?

Solution,

The number should leave a remainder of 5.

Therefore, number 1 = 245 - 5 = 240

Number 2 = 1205 - 5 = 1200

Factorizing number 1 and number 2,

240 =2*2*2*2*3*5

1200 = 2*2*2*2*3*5*5

The HCF = 2*2*2*2*3*5 = 240

Hence, the largest number that divides 245 and 1205 leaving the remainder 5 in each case is 240.