GCD of 131, 577, 419, 120 Calculator

Given Input numbers are 131, 577, 419, 120

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

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 131, 577, 419, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 577, 419, 120 is 1.

Therefore, GCD of numbers 131, 577, 419, 120 is 1

Given Input Data is 131, 577, 419, 120

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

Prime Factorization of 131 is 131

Prime Factorization of 577 is 577

Prime Factorization of 419 is 419

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(131, 577) = 75587

GCD(131, 577) = ( 131 x 577 ) / 75587

GCD(131, 577) = 75587 / 75587

GCD(131, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 131, 577, 419, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 767, 869, 119
• GCD of 192, 438, 537, 955
• GCD of 221, 175, 287, 644
• GCD of 569, 997, 119, 599
• GCD of 286, 882, 646, 249

1. What is the GCD of 131, 577, 419, 120?

GCD of 131, 577, 419, 120 is 1

2. Where do I get the detailed procedure to find GCD of 131, 577, 419, 120?

You can find a detailed procedure to find GCD of 131, 577, 419, 120 on our page.

3. How to find GCD of 131, 577, 419, 120 on a calculator?

You can find the GCD of 131, 577, 419, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.