GCD of 272, 868, 53, 688 Calculator

Given Input numbers are 272, 868, 53, 688

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 272, 868, 53, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 868, 53, 688 is 1.

Therefore, GCD of numbers 272, 868, 53, 688 is 1

Given Input Data is 272, 868, 53, 688

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 53 is 53

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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, 868) = 59024

GCD(272, 868) = ( 272 x 868 ) / 59024

GCD(272, 868) = 236096 / 59024

GCD(272, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 272, 868, 53, 688 is 1

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• GCD of 223, 572, 53, 130
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1. What is the GCD of 272, 868, 53, 688?

GCD of 272, 868, 53, 688 is 1

2. Where do I get the detailed procedure to find GCD of 272, 868, 53, 688?

You can find a detailed procedure to find GCD of 272, 868, 53, 688 on our page.

3. How to find GCD of 272, 868, 53, 688 on a calculator?

You can find the GCD of 272, 868, 53, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.