GCD of 572, 916, 967, 208 Calculator

Given Input numbers are 572, 916, 967, 208

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 572, 916, 967, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 916, 967, 208 is 1.

Therefore, GCD of numbers 572, 916, 967, 208 is 1

Given Input Data is 572, 916, 967, 208

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 967 is 967

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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(572, 916) = 130988

GCD(572, 916) = ( 572 x 916 ) / 130988

GCD(572, 916) = 523952 / 130988

GCD(572, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 967

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

LCM(4, 967) = 3868

GCD(4, 967) = ( 4 x 967 ) / 3868

GCD(4, 967) = 3868 / 3868

GCD(4, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 572, 916, 967, 208 is 1

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1. What is the GCD of 572, 916, 967, 208?

GCD of 572, 916, 967, 208 is 1

2. Where do I get the detailed procedure to find GCD of 572, 916, 967, 208?

You can find a detailed procedure to find GCD of 572, 916, 967, 208 on our page.

3. How to find GCD of 572, 916, 967, 208 on a calculator?

You can find the GCD of 572, 916, 967, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.