GCD of 978, 725, 45, 580 Calculator

Given Input numbers are 978, 725, 45, 580

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 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 978, 725, 45, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 725, 45, 580 is 1.

Therefore, GCD of numbers 978, 725, 45, 580 is 1

Given Input Data is 978, 725, 45, 580

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 725 is 5 x 5 x 29

Prime Factorization of 45 is 3 x 3 x 5

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

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(978, 725) = 709050

GCD(978, 725) = ( 978 x 725 ) / 709050

GCD(978, 725) = 709050 / 709050

GCD(978, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 978, 725, 45, 580 is 1

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• GCD of 776, 681, 73, 954
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1. What is the GCD of 978, 725, 45, 580?

GCD of 978, 725, 45, 580 is 1

2. Where do I get the detailed procedure to find GCD of 978, 725, 45, 580?

You can find a detailed procedure to find GCD of 978, 725, 45, 580 on our page.

3. How to find GCD of 978, 725, 45, 580 on a calculator?

You can find the GCD of 978, 725, 45, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.