GCD of 971, 218, 487, 421 Calculator

Given Input numbers are 971, 218, 487, 421

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 218

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

1, 2, 109, 218

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

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 971, 218, 487, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 218, 487, 421 is 1.

Therefore, GCD of numbers 971, 218, 487, 421 is 1

Given Input Data is 971, 218, 487, 421

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

Prime Factorization of 971 is 971

Prime Factorization of 218 is 2 x 109

Prime Factorization of 487 is 487

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(971, 218) = 211678

GCD(971, 218) = ( 971 x 218 ) / 211678

GCD(971, 218) = 211678 / 211678

GCD(971, 218) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 487

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

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

GCD(1, 487) = 487 / 487

GCD(1, 487) = 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 971, 218, 487, 421 is 1

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1. What is the GCD of 971, 218, 487, 421?

GCD of 971, 218, 487, 421 is 1

2. Where do I get the detailed procedure to find GCD of 971, 218, 487, 421?

You can find a detailed procedure to find GCD of 971, 218, 487, 421 on our page.

3. How to find GCD of 971, 218, 487, 421 on a calculator?

You can find the GCD of 971, 218, 487, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.