GCD of 76, 339, 892, 973 Calculator

Given Input numbers are 76, 339, 892, 973

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 76, 339, 892, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 339, 892, 973 is 1.

Therefore, GCD of numbers 76, 339, 892, 973 is 1

Given Input Data is 76, 339, 892, 973

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 339 is 3 x 113

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 973 is 7 x 139

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(76, 339) = 25764

GCD(76, 339) = ( 76 x 339 ) / 25764

GCD(76, 339) = 25764 / 25764

GCD(76, 339) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 76, 339, 892, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 142, 730, 801
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1. What is the GCD of 76, 339, 892, 973?

GCD of 76, 339, 892, 973 is 1

2. Where do I get the detailed procedure to find GCD of 76, 339, 892, 973?

You can find a detailed procedure to find GCD of 76, 339, 892, 973 on our page.

3. How to find GCD of 76, 339, 892, 973 on a calculator?

You can find the GCD of 76, 339, 892, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.