GCD of 764, 721, 982, 916 Calculator

Given Input numbers are 764, 721, 982, 916

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

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 764, 721, 982, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 721, 982, 916 is 1.

Therefore, GCD of numbers 764, 721, 982, 916 is 1

Given Input Data is 764, 721, 982, 916

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 721 is 7 x 103

Prime Factorization of 982 is 2 x 491

Prime Factorization of 916 is 2 x 2 x 229

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(764, 721) = 550844

GCD(764, 721) = ( 764 x 721 ) / 550844

GCD(764, 721) = 550844 / 550844

GCD(764, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 764, 721, 982, 916 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 498, 372, 196, 349

1. What is the GCD of 764, 721, 982, 916?

GCD of 764, 721, 982, 916 is 1

2. Where do I get the detailed procedure to find GCD of 764, 721, 982, 916?

You can find a detailed procedure to find GCD of 764, 721, 982, 916 on our page.

3. How to find GCD of 764, 721, 982, 916 on a calculator?

You can find the GCD of 764, 721, 982, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.