GCD of 978, 580, 718, 452 Calculator

Given Input numbers are 978, 580, 718, 452

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 978, 580, 718, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 580, 718, 452 is 2.

Therefore, GCD of numbers 978, 580, 718, 452 is 2

Given Input Data is 978, 580, 718, 452

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

Prime Factorization of 978 is 2 x 3 x 163

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 452 is 2 x 2 x 113

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(978, 580) = 283620

GCD(978, 580) = ( 978 x 580 ) / 283620

GCD(978, 580) = 567240 / 283620

GCD(978, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 452

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

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

GCD(2, 452) = 904 / 452

GCD(2, 452) = 2

GCD of 978, 580, 718, 452 is 2

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1. What is the GCD of 978, 580, 718, 452?

GCD of 978, 580, 718, 452 is 2

2. Where do I get the detailed procedure to find GCD of 978, 580, 718, 452?

You can find a detailed procedure to find GCD of 978, 580, 718, 452 on our page.

3. How to find GCD of 978, 580, 718, 452 on a calculator?

You can find the GCD of 978, 580, 718, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.