GCD of 972, 182, 34, 710 Calculator

Given Input numbers are 972, 182, 34, 710

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 972, 182, 34, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 182, 34, 710 is 2.

Therefore, GCD of numbers 972, 182, 34, 710 is 2

Given Input Data is 972, 182, 34, 710

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 182 is 2 x 7 x 13

Prime Factorization of 34 is 2 x 17

Prime Factorization of 710 is 2 x 5 x 71

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, 182) = 88452

GCD(972, 182) = ( 972 x 182 ) / 88452

GCD(972, 182) = 176904 / 88452

GCD(972, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 972, 182, 34, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 118, 77, 238
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• GCD of 627, 606, 94, 844
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• GCD of 365, 128, 94, 758

1. What is the GCD of 972, 182, 34, 710?

GCD of 972, 182, 34, 710 is 2

2. Where do I get the detailed procedure to find GCD of 972, 182, 34, 710?

You can find a detailed procedure to find GCD of 972, 182, 34, 710 on our page.

3. How to find GCD of 972, 182, 34, 710 on a calculator?

You can find the GCD of 972, 182, 34, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.