GCD of 724, 988, 430, 764 Calculator

Given Input numbers are 724, 988, 430, 764

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 764

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

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 724, 988, 430, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 988, 430, 764 is 2.

Therefore, GCD of numbers 724, 988, 430, 764 is 2

Given Input Data is 724, 988, 430, 764

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 764 is 2 x 2 x 191

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(724, 988) = 178828

GCD(724, 988) = ( 724 x 988 ) / 178828

GCD(724, 988) = 715312 / 178828

GCD(724, 988) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 430

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

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

GCD(4, 430) = 1720 / 860

GCD(4, 430) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 724, 988, 430, 764 is 2

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1. What is the GCD of 724, 988, 430, 764?

GCD of 724, 988, 430, 764 is 2

2. Where do I get the detailed procedure to find GCD of 724, 988, 430, 764?

You can find a detailed procedure to find GCD of 724, 988, 430, 764 on our page.

3. How to find GCD of 724, 988, 430, 764 on a calculator?

You can find the GCD of 724, 988, 430, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.