GCD of 914, 374, 79, 504 Calculator

Given Input numbers are 914, 374, 79, 504

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

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 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 914, 374, 79, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 374, 79, 504 is 1.

Therefore, GCD of numbers 914, 374, 79, 504 is 1

Given Input Data is 914, 374, 79, 504

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 79 is 79

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(914, 374) = 170918

GCD(914, 374) = ( 914 x 374 ) / 170918

GCD(914, 374) = 341836 / 170918

GCD(914, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 914, 374, 79, 504 is 1

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1. What is the GCD of 914, 374, 79, 504?

GCD of 914, 374, 79, 504 is 1

2. Where do I get the detailed procedure to find GCD of 914, 374, 79, 504?

You can find a detailed procedure to find GCD of 914, 374, 79, 504 on our page.

3. How to find GCD of 914, 374, 79, 504 on a calculator?

You can find the GCD of 914, 374, 79, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.