GCD of 456, 102, 827, 272 Calculator

Given Input numbers are 456, 102, 827, 272

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

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

Greatest Common Divisior

We found the divisors of 456, 102, 827, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 102, 827, 272 is 1.

Therefore, GCD of numbers 456, 102, 827, 272 is 1

Given Input Data is 456, 102, 827, 272

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 827 is 827

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

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(456, 102) = 7752

GCD(456, 102) = ( 456 x 102 ) / 7752

GCD(456, 102) = 46512 / 7752

GCD(456, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 827

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

LCM(6, 827) = 4962

GCD(6, 827) = ( 6 x 827 ) / 4962

GCD(6, 827) = 4962 / 4962

GCD(6, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 456, 102, 827, 272 is 1

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• GCD of 561, 102, 481, 510
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• GCD of 830, 699, 577, 779

1. What is the GCD of 456, 102, 827, 272?

GCD of 456, 102, 827, 272 is 1

2. Where do I get the detailed procedure to find GCD of 456, 102, 827, 272?

You can find a detailed procedure to find GCD of 456, 102, 827, 272 on our page.

3. How to find GCD of 456, 102, 827, 272 on a calculator?

You can find the GCD of 456, 102, 827, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.