GCD of 916, 971, 729, 942 Calculator

Given Input numbers are 916, 971, 729, 942

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 971

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

1, 971

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 916, 971, 729, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 971, 729, 942 is 1.

Therefore, GCD of numbers 916, 971, 729, 942 is 1

Given Input Data is 916, 971, 729, 942

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 971 is 971

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 942 is 2 x 3 x 157

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, 971) = 889436

GCD(916, 971) = ( 916 x 971 ) / 889436

GCD(916, 971) = 889436 / 889436

GCD(916, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 916, 971, 729, 942 is 1

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1. What is the GCD of 916, 971, 729, 942?

GCD of 916, 971, 729, 942 is 1

2. Where do I get the detailed procedure to find GCD of 916, 971, 729, 942?

You can find a detailed procedure to find GCD of 916, 971, 729, 942 on our page.

3. How to find GCD of 916, 971, 729, 942 on a calculator?

You can find the GCD of 916, 971, 729, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.