GCD of 972, 254, 425, 399 Calculator

Given Input numbers are 972, 254, 425, 399

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 972, 254, 425, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 254, 425, 399 is 1.

Therefore, GCD of numbers 972, 254, 425, 399 is 1

Given Input Data is 972, 254, 425, 399

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 254 is 2 x 127

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 399 is 3 x 7 x 19

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(972, 254) = 123444

GCD(972, 254) = ( 972 x 254 ) / 123444

GCD(972, 254) = 246888 / 123444

GCD(972, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 425

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

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

GCD(2, 425) = 850 / 850

GCD(2, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 972, 254, 425, 399 is 1

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• GCD of 253, 425, 532, 893
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1. What is the GCD of 972, 254, 425, 399?

GCD of 972, 254, 425, 399 is 1

2. Where do I get the detailed procedure to find GCD of 972, 254, 425, 399?

You can find a detailed procedure to find GCD of 972, 254, 425, 399 on our page.

3. How to find GCD of 972, 254, 425, 399 on a calculator?

You can find the GCD of 972, 254, 425, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.