Question

find the greatest number which divides 279 and 473 leaving reminder 7and10 repectivaly​

Answer 1

Answer:

required greatest no=17

Step-by-step explanation :

Given that :

Greatest number which divides 279 and 435 leaving remainders 7 and 10 respectively.

To Find :

Find the greatest number.

Solution :

⇒ 279 - 7 = 272.

⇒ 435 - 10 = 425.

Now, Well will find HCF of 272 and 425.

Now Factors of both numbers :

272 = 2 × 2 × 2 × 2 × 2 × 17✔️

425 = 5 × 5 × 17✔️

H.C.F of 272 and 435 is 17.

★ Hence,The required greatest number is 17.

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