GCD of 971, 282, 563, 617 Calculator

Given Input numbers are 971, 282, 563, 617

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 971, 282, 563, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 282, 563, 617 is 1.

Therefore, GCD of numbers 971, 282, 563, 617 is 1

Given Input Data is 971, 282, 563, 617

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

Prime Factorization of 971 is 971

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 563 is 563

Prime Factorization of 617 is 617

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, 282) = 273822

GCD(971, 282) = ( 971 x 282 ) / 273822

GCD(971, 282) = 273822 / 273822

GCD(971, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 971, 282, 563, 617 is 1

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1. What is the GCD of 971, 282, 563, 617?

GCD of 971, 282, 563, 617 is 1

2. Where do I get the detailed procedure to find GCD of 971, 282, 563, 617?

You can find a detailed procedure to find GCD of 971, 282, 563, 617 on our page.

3. How to find GCD of 971, 282, 563, 617 on a calculator?

You can find the GCD of 971, 282, 563, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.