GCD of 580, 874, 96, 795 Calculator

Given Input numbers are 580, 874, 96, 795

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

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 580, 874, 96, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 874, 96, 795 is 1.

Therefore, GCD of numbers 580, 874, 96, 795 is 1

Given Input Data is 580, 874, 96, 795

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

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 795 is 3 x 5 x 53

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(580, 874) = 253460

GCD(580, 874) = ( 580 x 874 ) / 253460

GCD(580, 874) = 506920 / 253460

GCD(580, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 795

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

LCM(2, 795) = 1590

GCD(2, 795) = ( 2 x 795 ) / 1590

GCD(2, 795) = 1590 / 1590

GCD(2, 795) = 1

GCD of 580, 874, 96, 795 is 1

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1. What is the GCD of 580, 874, 96, 795?

GCD of 580, 874, 96, 795 is 1

2. Where do I get the detailed procedure to find GCD of 580, 874, 96, 795?

You can find a detailed procedure to find GCD of 580, 874, 96, 795 on our page.

3. How to find GCD of 580, 874, 96, 795 on a calculator?

You can find the GCD of 580, 874, 96, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.