GCD of 916, 766, 116, 751 Calculator

Given Input numbers are 916, 766, 116, 751

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 751

List of positive integer divisors of 751 that divides 751 without a remainder.

1, 751

Greatest Common Divisior

We found the divisors of 916, 766, 116, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 766, 116, 751 is 1.

Therefore, GCD of numbers 916, 766, 116, 751 is 1

Given Input Data is 916, 766, 116, 751

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 766 is 2 x 383

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 751 is 751

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(916, 766) = 350828

GCD(916, 766) = ( 916 x 766 ) / 350828

GCD(916, 766) = 701656 / 350828

GCD(916, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 751

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

LCM(2, 751) = 1502

GCD(2, 751) = ( 2 x 751 ) / 1502

GCD(2, 751) = 1502 / 1502

GCD(2, 751) = 1

GCD of 916, 766, 116, 751 is 1

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1. What is the GCD of 916, 766, 116, 751?

GCD of 916, 766, 116, 751 is 1

2. Where do I get the detailed procedure to find GCD of 916, 766, 116, 751?

You can find a detailed procedure to find GCD of 916, 766, 116, 751 on our page.

3. How to find GCD of 916, 766, 116, 751 on a calculator?

You can find the GCD of 916, 766, 116, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.