GCD of 672, 719, 756, 653 Calculator

Given Input numbers are 672, 719, 756, 653

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 672, 719, 756, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 719, 756, 653 is 1.

Therefore, GCD of numbers 672, 719, 756, 653 is 1

Given Input Data is 672, 719, 756, 653

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 719 is 719

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 653 is 653

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(672, 719) = 483168

GCD(672, 719) = ( 672 x 719 ) / 483168

GCD(672, 719) = 483168 / 483168

GCD(672, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 672, 719, 756, 653 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 672, 719, 756, 653?

GCD of 672, 719, 756, 653 is 1

2. Where do I get the detailed procedure to find GCD of 672, 719, 756, 653?

You can find a detailed procedure to find GCD of 672, 719, 756, 653 on our page.

3. How to find GCD of 672, 719, 756, 653 on a calculator?

You can find the GCD of 672, 719, 756, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.