GCD of 180, 504, 77, 127 Calculator

Given Input numbers are 180, 504, 77, 127

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

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 127

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

1, 127

Greatest Common Divisior

We found the divisors of 180, 504, 77, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 504, 77, 127 is 1.

Therefore, GCD of numbers 180, 504, 77, 127 is 1

Given Input Data is 180, 504, 77, 127

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

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 127 is 127

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(180, 504) = 2520

GCD(180, 504) = ( 180 x 504 ) / 2520

GCD(180, 504) = 90720 / 2520

GCD(180, 504) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 77

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

LCM(36, 77) = 2772

GCD(36, 77) = ( 36 x 77 ) / 2772

GCD(36, 77) = 2772 / 2772

GCD(36, 77) = 1

Step3:

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

GCD of 180, 504, 77, 127 is 1

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• GCD of 615, 638, 43, 300
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1. What is the GCD of 180, 504, 77, 127?

GCD of 180, 504, 77, 127 is 1

2. Where do I get the detailed procedure to find GCD of 180, 504, 77, 127?

You can find a detailed procedure to find GCD of 180, 504, 77, 127 on our page.

3. How to find GCD of 180, 504, 77, 127 on a calculator?

You can find the GCD of 180, 504, 77, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.