GCD of 977, 454, 315, 218 Calculator

Given Input numbers are 977, 454, 315, 218

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

Divisors of 977

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

1, 977

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 977, 454, 315, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 454, 315, 218 is 1.

Therefore, GCD of numbers 977, 454, 315, 218 is 1

Given Input Data is 977, 454, 315, 218

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

Prime Factorization of 977 is 977

Prime Factorization of 454 is 2 x 227

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

Prime Factorization of 218 is 2 x 109

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(977, 454) = 443558

GCD(977, 454) = ( 977 x 454 ) / 443558

GCD(977, 454) = 443558 / 443558

GCD(977, 454) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 977, 454, 315, 218 is 1

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1. What is the GCD of 977, 454, 315, 218?

GCD of 977, 454, 315, 218 is 1

2. Where do I get the detailed procedure to find GCD of 977, 454, 315, 218?

You can find a detailed procedure to find GCD of 977, 454, 315, 218 on our page.

3. How to find GCD of 977, 454, 315, 218 on a calculator?

You can find the GCD of 977, 454, 315, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.