GCD of 217, 370, 971, 956 Calculator

Given Input numbers are 217, 370, 971, 956

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

Divisors of 217

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

1, 7, 31, 217

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 971

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

1, 971

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 217, 370, 971, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 370, 971, 956 is 1.

Therefore, GCD of numbers 217, 370, 971, 956 is 1

Given Input Data is 217, 370, 971, 956

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 971 is 971

Prime Factorization of 956 is 2 x 2 x 239

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(217, 370) = 80290

GCD(217, 370) = ( 217 x 370 ) / 80290

GCD(217, 370) = 80290 / 80290

GCD(217, 370) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 217, 370, 971, 956 is 1

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1. What is the GCD of 217, 370, 971, 956?

GCD of 217, 370, 971, 956 is 1

2. Where do I get the detailed procedure to find GCD of 217, 370, 971, 956?

You can find a detailed procedure to find GCD of 217, 370, 971, 956 on our page.

3. How to find GCD of 217, 370, 971, 956 on a calculator?

You can find the GCD of 217, 370, 971, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.