GCD of 315, 620, 977, 421 Calculator

Given Input numbers are 315, 620, 977, 421

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 315, 620, 977, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 620, 977, 421 is 1.

Therefore, GCD of numbers 315, 620, 977, 421 is 1

Given Input Data is 315, 620, 977, 421

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 977 is 977

Prime Factorization of 421 is 421

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(315, 620) = 39060

GCD(315, 620) = ( 315 x 620 ) / 39060

GCD(315, 620) = 195300 / 39060

GCD(315, 620) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 977

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

LCM(5, 977) = 4885

GCD(5, 977) = ( 5 x 977 ) / 4885

GCD(5, 977) = 4885 / 4885

GCD(5, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 315, 620, 977, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 927, 261, 627
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• GCD of 558, 479, 397, 732
• GCD of 434, 703, 352, 544

1. What is the GCD of 315, 620, 977, 421?

GCD of 315, 620, 977, 421 is 1

2. Where do I get the detailed procedure to find GCD of 315, 620, 977, 421?

You can find a detailed procedure to find GCD of 315, 620, 977, 421 on our page.

3. How to find GCD of 315, 620, 977, 421 on a calculator?

You can find the GCD of 315, 620, 977, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.