GCD of 150, 932, 708, 756 Calculator

Given Input numbers are 150, 932, 708, 756

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 150, 932, 708, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 932, 708, 756 is 2.

Therefore, GCD of numbers 150, 932, 708, 756 is 2

Given Input Data is 150, 932, 708, 756

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(150, 932) = 69900

GCD(150, 932) = ( 150 x 932 ) / 69900

GCD(150, 932) = 139800 / 69900

GCD(150, 932) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 150, 932, 708, 756 is 2

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1. What is the GCD of 150, 932, 708, 756?

GCD of 150, 932, 708, 756 is 2

2. Where do I get the detailed procedure to find GCD of 150, 932, 708, 756?

You can find a detailed procedure to find GCD of 150, 932, 708, 756 on our page.

3. How to find GCD of 150, 932, 708, 756 on a calculator?

You can find the GCD of 150, 932, 708, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.