GCD of 972, 841, 523, 659 Calculator

Given Input numbers are 972, 841, 523, 659

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 523

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

1, 523

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 972, 841, 523, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 841, 523, 659 is 1.

Therefore, GCD of numbers 972, 841, 523, 659 is 1

Given Input Data is 972, 841, 523, 659

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 841 is 29 x 29

Prime Factorization of 523 is 523

Prime Factorization of 659 is 659

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, 841) = 817452

GCD(972, 841) = ( 972 x 841 ) / 817452

GCD(972, 841) = 817452 / 817452

GCD(972, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 972, 841, 523, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 261, 796, 711
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• GCD of 412, 917, 942, 124
• GCD of 252, 594, 522, 916
• GCD of 387, 160, 288, 316

1. What is the GCD of 972, 841, 523, 659?

GCD of 972, 841, 523, 659 is 1

2. Where do I get the detailed procedure to find GCD of 972, 841, 523, 659?

You can find a detailed procedure to find GCD of 972, 841, 523, 659 on our page.

3. How to find GCD of 972, 841, 523, 659 on a calculator?

You can find the GCD of 972, 841, 523, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.