GCD of 764, 722, 940 Calculator

Given Input numbers are 764, 722, 940

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 764, 722, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 722, 940 is 2.

Therefore, GCD of numbers 764, 722, 940 is 2

Given Input Data is 764, 722, 940

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 722 is 2 x 19 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 722) = 275804

GCD(764, 722) = ( 764 x 722 ) / 275804

GCD(764, 722) = 551608 / 275804

GCD(764, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

GCD of 764, 722, 940 is 2

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1. What is the GCD of 764, 722, 940?

GCD of 764, 722, 940 is 2

2. Where do I get the detailed procedure to find GCD of 764, 722, 940?

You can find a detailed procedure to find GCD of 764, 722, 940 on our page.

3. How to find GCD of 764, 722, 940 on a calculator?

You can find the GCD of 764, 722, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.