GCD of 315, 756, 76, 414 Calculator

Given Input numbers are 315, 756, 76, 414

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

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 315, 756, 76, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 756, 76, 414 is 1.

Therefore, GCD of numbers 315, 756, 76, 414 is 1

Given Input Data is 315, 756, 76, 414

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(315, 756) = 3780

GCD(315, 756) = ( 315 x 756 ) / 3780

GCD(315, 756) = 238140 / 3780

GCD(315, 756) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 76

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

LCM(63, 76) = 4788

GCD(63, 76) = ( 63 x 76 ) / 4788

GCD(63, 76) = 4788 / 4788

GCD(63, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 315, 756, 76, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 324, 29, 722
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• GCD of 966, 894, 35, 156
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• GCD of 179, 199, 64, 456

1. What is the GCD of 315, 756, 76, 414?

GCD of 315, 756, 76, 414 is 1

2. Where do I get the detailed procedure to find GCD of 315, 756, 76, 414?

You can find a detailed procedure to find GCD of 315, 756, 76, 414 on our page.

3. How to find GCD of 315, 756, 76, 414 on a calculator?

You can find the GCD of 315, 756, 76, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.