GCD of 968, 319, 972, 220 Calculator

Given Input numbers are 968, 319, 972, 220

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 968, 319, 972, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 319, 972, 220 is 1.

Therefore, GCD of numbers 968, 319, 972, 220 is 1

Given Input Data is 968, 319, 972, 220

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 319 is 11 x 29

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 220 is 2 x 2 x 5 x 11

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, 319) = 28072

GCD(968, 319) = ( 968 x 319 ) / 28072

GCD(968, 319) = 308792 / 28072

GCD(968, 319) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 972

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

LCM(11, 972) = 10692

GCD(11, 972) = ( 11 x 972 ) / 10692

GCD(11, 972) = 10692 / 10692

GCD(11, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 968, 319, 972, 220 is 1

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1. What is the GCD of 968, 319, 972, 220?

GCD of 968, 319, 972, 220 is 1

2. Where do I get the detailed procedure to find GCD of 968, 319, 972, 220?

You can find a detailed procedure to find GCD of 968, 319, 972, 220 on our page.

3. How to find GCD of 968, 319, 972, 220 on a calculator?

You can find the GCD of 968, 319, 972, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.