GCD of 914, 956, 580, 578 Calculator

Given Input numbers are 914, 956, 580, 578

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 914, 956, 580, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 956, 580, 578 is 2.

Therefore, GCD of numbers 914, 956, 580, 578 is 2

Given Input Data is 914, 956, 580, 578

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 578 is 2 x 17 x 17

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(914, 956) = 436892

GCD(914, 956) = ( 914 x 956 ) / 436892

GCD(914, 956) = 873784 / 436892

GCD(914, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

GCD of 914, 956, 580, 578 is 2

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1. What is the GCD of 914, 956, 580, 578?

GCD of 914, 956, 580, 578 is 2

2. Where do I get the detailed procedure to find GCD of 914, 956, 580, 578?

You can find a detailed procedure to find GCD of 914, 956, 580, 578 on our page.

3. How to find GCD of 914, 956, 580, 578 on a calculator?

You can find the GCD of 914, 956, 580, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.