GCD of 276, 582, 972 Calculator

Given Input numbers are 276, 582, 972

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

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

Greatest Common Divisior

We found the divisors of 276, 582, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 582, 972 is 6.

Therefore, GCD of numbers 276, 582, 972 is 6

Given Input Data is 276, 582, 972

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 582 is 2 x 3 x 97

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(276, 582) = 26772

GCD(276, 582) = ( 276 x 582 ) / 26772

GCD(276, 582) = 160632 / 26772

GCD(276, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 972

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

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

GCD(6, 972) = 5832 / 972

GCD(6, 972) = 6

GCD of 276, 582, 972 is 6

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1. What is the GCD of 276, 582, 972?

GCD of 276, 582, 972 is 6

2. Where do I get the detailed procedure to find GCD of 276, 582, 972?

You can find a detailed procedure to find GCD of 276, 582, 972 on our page.

3. How to find GCD of 276, 582, 972 on a calculator?

You can find the GCD of 276, 582, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.