GCD of 107, 180, 638, 751 Calculator

Given Input numbers are 107, 180, 638, 751

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 107, 180, 638, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 180, 638, 751 is 1.

Therefore, GCD of numbers 107, 180, 638, 751 is 1

Given Input Data is 107, 180, 638, 751

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

Prime Factorization of 107 is 107

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 751 is 751

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(107, 180) = 19260

GCD(107, 180) = ( 107 x 180 ) / 19260

GCD(107, 180) = 19260 / 19260

GCD(107, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 751

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

LCM(1, 751) = 751

GCD(1, 751) = ( 1 x 751 ) / 751

GCD(1, 751) = 751 / 751

GCD(1, 751) = 1

GCD of 107, 180, 638, 751 is 1

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• GCD of 954, 263, 432, 257
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1. What is the GCD of 107, 180, 638, 751?

GCD of 107, 180, 638, 751 is 1

2. Where do I get the detailed procedure to find GCD of 107, 180, 638, 751?

You can find a detailed procedure to find GCD of 107, 180, 638, 751 on our page.

3. How to find GCD of 107, 180, 638, 751 on a calculator?

You can find the GCD of 107, 180, 638, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.