GCD of 968, 916, 49, 992 Calculator

Given Input numbers are 968, 916, 49, 992

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 968, 916, 49, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 916, 49, 992 is 1.

Therefore, GCD of numbers 968, 916, 49, 992 is 1

Given Input Data is 968, 916, 49, 992

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 49 is 7 x 7

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 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(968, 916) = 221672

GCD(968, 916) = ( 968 x 916 ) / 221672

GCD(968, 916) = 886688 / 221672

GCD(968, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 968, 916, 49, 992 is 1

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1. What is the GCD of 968, 916, 49, 992?

GCD of 968, 916, 49, 992 is 1

2. Where do I get the detailed procedure to find GCD of 968, 916, 49, 992?

You can find a detailed procedure to find GCD of 968, 916, 49, 992 on our page.

3. How to find GCD of 968, 916, 49, 992 on a calculator?

You can find the GCD of 968, 916, 49, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.