GCD of 127, 422, 860, 509 Calculator

Given Input numbers are 127, 422, 860, 509

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

Divisors of 127

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

1, 127

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 127, 422, 860, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 127, 422, 860, 509 is 1.

Therefore, GCD of numbers 127, 422, 860, 509 is 1

Given Input Data is 127, 422, 860, 509

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

Prime Factorization of 127 is 127

Prime Factorization of 422 is 2 x 211

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 509 is 509

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(127, 422) = 53594

GCD(127, 422) = ( 127 x 422 ) / 53594

GCD(127, 422) = 53594 / 53594

GCD(127, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 127, 422, 860, 509 is 1

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1. What is the GCD of 127, 422, 860, 509?

GCD of 127, 422, 860, 509 is 1

2. Where do I get the detailed procedure to find GCD of 127, 422, 860, 509?

You can find a detailed procedure to find GCD of 127, 422, 860, 509 on our page.

3. How to find GCD of 127, 422, 860, 509 on a calculator?

You can find the GCD of 127, 422, 860, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.