GCD of 120, 464, 580 Calculator

Given Input numbers are 120, 464, 580

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 120, 464, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 464, 580 is 4.

Therefore, GCD of numbers 120, 464, 580 is 4

Given Input Data is 120, 464, 580

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(120, 464) = 6960

GCD(120, 464) = ( 120 x 464 ) / 6960

GCD(120, 464) = 55680 / 6960

GCD(120, 464) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 580

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

LCM(8, 580) = 1160

GCD(8, 580) = ( 8 x 580 ) / 1160

GCD(8, 580) = 4640 / 1160

GCD(8, 580) = 4

GCD of 120, 464, 580 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 465, 975
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• GCD of 227, 462, 219
• GCD of 497, 168, 629
• GCD of 911, 554, 904

1. What is the GCD of 120, 464, 580?

GCD of 120, 464, 580 is 4

2. Where do I get the detailed procedure to find GCD of 120, 464, 580?

You can find a detailed procedure to find GCD of 120, 464, 580 on our page.

3. How to find GCD of 120, 464, 580 on a calculator?

You can find the GCD of 120, 464, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.