GCD of 972, 523, 55, 664 Calculator

Given Input numbers are 972, 523, 55, 664

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 972, 523, 55, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 523, 55, 664 is 1.

Therefore, GCD of numbers 972, 523, 55, 664 is 1

Given Input Data is 972, 523, 55, 664

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 523 is 523

Prime Factorization of 55 is 5 x 11

Prime Factorization of 664 is 2 x 2 x 2 x 83

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, 523) = 508356

GCD(972, 523) = ( 972 x 523 ) / 508356

GCD(972, 523) = 508356 / 508356

GCD(972, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 972, 523, 55, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 787, 59, 531
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• GCD of 431, 941, 16, 738
• GCD of 717, 325, 10, 175

1. What is the GCD of 972, 523, 55, 664?

GCD of 972, 523, 55, 664 is 1

2. Where do I get the detailed procedure to find GCD of 972, 523, 55, 664?

You can find a detailed procedure to find GCD of 972, 523, 55, 664 on our page.

3. How to find GCD of 972, 523, 55, 664 on a calculator?

You can find the GCD of 972, 523, 55, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.