GCD of 722, 109, 127, 596 Calculator

Given Input numbers are 722, 109, 127, 596

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 722, 109, 127, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 109, 127, 596 is 1.

Therefore, GCD of numbers 722, 109, 127, 596 is 1

Given Input Data is 722, 109, 127, 596

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 109 is 109

Prime Factorization of 127 is 127

Prime Factorization of 596 is 2 x 2 x 149

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(722, 109) = 78698

GCD(722, 109) = ( 722 x 109 ) / 78698

GCD(722, 109) = 78698 / 78698

GCD(722, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 127

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

LCM(1, 127) = 127

GCD(1, 127) = ( 1 x 127 ) / 127

GCD(1, 127) = 127 / 127

GCD(1, 127) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 722, 109, 127, 596 is 1

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• GCD of 866, 770, 591, 832
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• GCD of 804, 901, 767, 121

1. What is the GCD of 722, 109, 127, 596?

GCD of 722, 109, 127, 596 is 1

2. Where do I get the detailed procedure to find GCD of 722, 109, 127, 596?

You can find a detailed procedure to find GCD of 722, 109, 127, 596 on our page.

3. How to find GCD of 722, 109, 127, 596 on a calculator?

You can find the GCD of 722, 109, 127, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.