GCD of 54, 722, 786, 724 Calculator

Given Input numbers are 54, 722, 786, 724

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 54, 722, 786, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 722, 786, 724 is 2.

Therefore, GCD of numbers 54, 722, 786, 724 is 2

Given Input Data is 54, 722, 786, 724

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 724 is 2 x 2 x 181

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(54, 722) = 19494

GCD(54, 722) = ( 54 x 722 ) / 19494

GCD(54, 722) = 38988 / 19494

GCD(54, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 54, 722, 786, 724 is 2

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 54, 722, 786, 724?

GCD of 54, 722, 786, 724 is 2

2. Where do I get the detailed procedure to find GCD of 54, 722, 786, 724?

You can find a detailed procedure to find GCD of 54, 722, 786, 724 on our page.

3. How to find GCD of 54, 722, 786, 724 on a calculator?

You can find the GCD of 54, 722, 786, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.