GCD of 976, 765, 31, 217 Calculator

Given Input numbers are 976, 765, 31, 217

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 976, 765, 31, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 765, 31, 217 is 1.

Therefore, GCD of numbers 976, 765, 31, 217 is 1

Given Input Data is 976, 765, 31, 217

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 31 is 31

Prime Factorization of 217 is 7 x 31

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(976, 765) = 746640

GCD(976, 765) = ( 976 x 765 ) / 746640

GCD(976, 765) = 746640 / 746640

GCD(976, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 976, 765, 31, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 438, 11, 553
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• GCD of 268, 735, 22, 335
• GCD of 187, 647, 45, 843
• GCD of 528, 113, 49, 905

1. What is the GCD of 976, 765, 31, 217?

GCD of 976, 765, 31, 217 is 1

2. Where do I get the detailed procedure to find GCD of 976, 765, 31, 217?

You can find a detailed procedure to find GCD of 976, 765, 31, 217 on our page.

3. How to find GCD of 976, 765, 31, 217 on a calculator?

You can find the GCD of 976, 765, 31, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.