GCD of 756, 503, 150, 412 Calculator

Given Input numbers are 756, 503, 150, 412

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 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 756, 503, 150, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 503, 150, 412 is 1.

Therefore, GCD of numbers 756, 503, 150, 412 is 1

Given Input Data is 756, 503, 150, 412

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 503 is 503

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

Prime Factorization of 412 is 2 x 2 x 103

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, 503) = 380268

GCD(756, 503) = ( 756 x 503 ) / 380268

GCD(756, 503) = 380268 / 380268

GCD(756, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 756, 503, 150, 412 is 1

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1. What is the GCD of 756, 503, 150, 412?

GCD of 756, 503, 150, 412 is 1

2. Where do I get the detailed procedure to find GCD of 756, 503, 150, 412?

You can find a detailed procedure to find GCD of 756, 503, 150, 412 on our page.

3. How to find GCD of 756, 503, 150, 412 on a calculator?

You can find the GCD of 756, 503, 150, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.