GCD of 972, 764, 67, 829 Calculator

Given Input numbers are 972, 764, 67, 829

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 972, 764, 67, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 764, 67, 829 is 1.

Therefore, GCD of numbers 972, 764, 67, 829 is 1

Given Input Data is 972, 764, 67, 829

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 764 is 2 x 2 x 191

Prime Factorization of 67 is 67

Prime Factorization of 829 is 829

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, 764) = 185652

GCD(972, 764) = ( 972 x 764 ) / 185652

GCD(972, 764) = 742608 / 185652

GCD(972, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 972, 764, 67, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 403, 14, 529
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• GCD of 267, 261, 15, 586

1. What is the GCD of 972, 764, 67, 829?

GCD of 972, 764, 67, 829 is 1

2. Where do I get the detailed procedure to find GCD of 972, 764, 67, 829?

You can find a detailed procedure to find GCD of 972, 764, 67, 829 on our page.

3. How to find GCD of 972, 764, 67, 829 on a calculator?

You can find the GCD of 972, 764, 67, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.