GCD of 617, 972, 32, 709 Calculator

Given Input numbers are 617, 972, 32, 709

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

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 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 617, 972, 32, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 972, 32, 709 is 1.

Therefore, GCD of numbers 617, 972, 32, 709 is 1

Given Input Data is 617, 972, 32, 709

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

Prime Factorization of 617 is 617

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 709 is 709

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(617, 972) = 599724

GCD(617, 972) = ( 617 x 972 ) / 599724

GCD(617, 972) = 599724 / 599724

GCD(617, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 617, 972, 32, 709 is 1

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1. What is the GCD of 617, 972, 32, 709?

GCD of 617, 972, 32, 709 is 1

2. Where do I get the detailed procedure to find GCD of 617, 972, 32, 709?

You can find a detailed procedure to find GCD of 617, 972, 32, 709 on our page.

3. How to find GCD of 617, 972, 32, 709 on a calculator?

You can find the GCD of 617, 972, 32, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.