GCD of 630, 217, 71, 972 Calculator

Given Input numbers are 630, 217, 71, 972

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 630, 217, 71, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 217, 71, 972 is 1.

Therefore, GCD of numbers 630, 217, 71, 972 is 1

Given Input Data is 630, 217, 71, 972

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 217 is 7 x 31

Prime Factorization of 71 is 71

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(630, 217) = 19530

GCD(630, 217) = ( 630 x 217 ) / 19530

GCD(630, 217) = 136710 / 19530

GCD(630, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 71

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

LCM(7, 71) = 497

GCD(7, 71) = ( 7 x 71 ) / 497

GCD(7, 71) = 497 / 497

GCD(7, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 630, 217, 71, 972 is 1

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1. What is the GCD of 630, 217, 71, 972?

GCD of 630, 217, 71, 972 is 1

2. Where do I get the detailed procedure to find GCD of 630, 217, 71, 972?

You can find a detailed procedure to find GCD of 630, 217, 71, 972 on our page.

3. How to find GCD of 630, 217, 71, 972 on a calculator?

You can find the GCD of 630, 217, 71, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.