GCD of 272, 684, 98, 907 Calculator

Given Input numbers are 272, 684, 98, 907

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Greatest Common Divisior

We found the divisors of 272, 684, 98, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 684, 98, 907 is 1.

Therefore, GCD of numbers 272, 684, 98, 907 is 1

Given Input Data is 272, 684, 98, 907

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 907 is 907

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(272, 684) = 46512

GCD(272, 684) = ( 272 x 684 ) / 46512

GCD(272, 684) = 186048 / 46512

GCD(272, 684) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 98

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

GCD(4, 98) = 392 / 196

GCD(4, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 907

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 907) = 1814

GCD(2, 907) = ( 2 x 907 ) / 1814

GCD(2, 907) = 1814 / 1814

GCD(2, 907) = 1

GCD of 272, 684, 98, 907 is 1

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1. What is the GCD of 272, 684, 98, 907?

GCD of 272, 684, 98, 907 is 1

2. Where do I get the detailed procedure to find GCD of 272, 684, 98, 907?

You can find a detailed procedure to find GCD of 272, 684, 98, 907 on our page.

3. How to find GCD of 272, 684, 98, 907 on a calculator?

You can find the GCD of 272, 684, 98, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.