GCD of 55, 972, 731, 524 Calculator

Given Input numbers are 55, 972, 731, 524

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

Divisors of 55

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

1, 5, 11, 55

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 55, 972, 731, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 972, 731, 524 is 1.

Therefore, GCD of numbers 55, 972, 731, 524 is 1

Given Input Data is 55, 972, 731, 524

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

Prime Factorization of 55 is 5 x 11

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 524 is 2 x 2 x 131

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(55, 972) = 53460

GCD(55, 972) = ( 55 x 972 ) / 53460

GCD(55, 972) = 53460 / 53460

GCD(55, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 55, 972, 731, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 909, 585, 236
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• GCD of 83, 169, 900, 656
• GCD of 63, 977, 407, 836
• GCD of 23, 456, 170, 553

1. What is the GCD of 55, 972, 731, 524?

GCD of 55, 972, 731, 524 is 1

2. Where do I get the detailed procedure to find GCD of 55, 972, 731, 524?

You can find a detailed procedure to find GCD of 55, 972, 731, 524 on our page.

3. How to find GCD of 55, 972, 731, 524 on a calculator?

You can find the GCD of 55, 972, 731, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.