GCD of 278, 579, 120 Calculator

Given Input numbers are 278, 579, 120

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

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

Greatest Common Divisior

We found the divisors of 278, 579, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 579, 120 is 1.

Therefore, GCD of numbers 278, 579, 120 is 1

Given Input Data is 278, 579, 120

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 579 is 3 x 193

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

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(278, 579) = 160962

GCD(278, 579) = ( 278 x 579 ) / 160962

GCD(278, 579) = 160962 / 160962

GCD(278, 579) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 278, 579, 120 is 1

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1. What is the GCD of 278, 579, 120?

GCD of 278, 579, 120 is 1

2. Where do I get the detailed procedure to find GCD of 278, 579, 120?

You can find a detailed procedure to find GCD of 278, 579, 120 on our page.

3. How to find GCD of 278, 579, 120 on a calculator?

You can find the GCD of 278, 579, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.