GCD of 756, 188, 374, 179 Calculator

Given Input numbers are 756, 188, 374, 179

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

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 756, 188, 374, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 188, 374, 179 is 1.

Therefore, GCD of numbers 756, 188, 374, 179 is 1

Given Input Data is 756, 188, 374, 179

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

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 179 is 179

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(756, 188) = 35532

GCD(756, 188) = ( 756 x 188 ) / 35532

GCD(756, 188) = 142128 / 35532

GCD(756, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 374

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

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

GCD(4, 374) = 1496 / 748

GCD(4, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 179

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

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

GCD(2, 179) = 358 / 358

GCD(2, 179) = 1

GCD of 756, 188, 374, 179 is 1

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1. What is the GCD of 756, 188, 374, 179?

GCD of 756, 188, 374, 179 is 1

2. Where do I get the detailed procedure to find GCD of 756, 188, 374, 179?

You can find a detailed procedure to find GCD of 756, 188, 374, 179 on our page.

3. How to find GCD of 756, 188, 374, 179 on a calculator?

You can find the GCD of 756, 188, 374, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.