GCD of 108, 212, 730, 632 Calculator

Given Input numbers are 108, 212, 730, 632

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 108, 212, 730, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 212, 730, 632 is 2.

Therefore, GCD of numbers 108, 212, 730, 632 is 2

Given Input Data is 108, 212, 730, 632

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(108, 212) = 5724

GCD(108, 212) = ( 108 x 212 ) / 5724

GCD(108, 212) = 22896 / 5724

GCD(108, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 730

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

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

GCD(4, 730) = 2920 / 1460

GCD(4, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 108, 212, 730, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 189, 771, 636
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1. What is the GCD of 108, 212, 730, 632?

GCD of 108, 212, 730, 632 is 2

2. Where do I get the detailed procedure to find GCD of 108, 212, 730, 632?

You can find a detailed procedure to find GCD of 108, 212, 730, 632 on our page.

3. How to find GCD of 108, 212, 730, 632 on a calculator?

You can find the GCD of 108, 212, 730, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.