GCD of 972, 672, 694, 590 Calculator

Given Input numbers are 972, 672, 694, 590

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

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Greatest Common Divisior

We found the divisors of 972, 672, 694, 590 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 672, 694, 590 is 2.

Therefore, GCD of numbers 972, 672, 694, 590 is 2

Given Input Data is 972, 672, 694, 590

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

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 694 is 2 x 347

Prime Factorization of 590 is 2 x 5 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(972, 672) = 54432

GCD(972, 672) = ( 972 x 672 ) / 54432

GCD(972, 672) = 653184 / 54432

GCD(972, 672) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 694

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

LCM(12, 694) = 4164

GCD(12, 694) = ( 12 x 694 ) / 4164

GCD(12, 694) = 8328 / 4164

GCD(12, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

GCD of 972, 672, 694, 590 is 2

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1. What is the GCD of 972, 672, 694, 590?

GCD of 972, 672, 694, 590 is 2

2. Where do I get the detailed procedure to find GCD of 972, 672, 694, 590?

You can find a detailed procedure to find GCD of 972, 672, 694, 590 on our page.

3. How to find GCD of 972, 672, 694, 590 on a calculator?

You can find the GCD of 972, 672, 694, 590 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.