GCD of 120, 501, 80, 874 Calculator

Given Input numbers are 120, 501, 80, 874

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 874

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

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

Greatest Common Divisior

We found the divisors of 120, 501, 80, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 501, 80, 874 is 1.

Therefore, GCD of numbers 120, 501, 80, 874 is 1

Given Input Data is 120, 501, 80, 874

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 501 is 3 x 167

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 874 is 2 x 19 x 23

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(120, 501) = 20040

GCD(120, 501) = ( 120 x 501 ) / 20040

GCD(120, 501) = 60120 / 20040

GCD(120, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 80

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

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

GCD(3, 80) = 240 / 240

GCD(3, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 120, 501, 80, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 619, 93, 367
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• GCD of 199, 280, 84, 327
• GCD of 486, 205, 58, 626
• GCD of 653, 149, 47, 729

1. What is the GCD of 120, 501, 80, 874?

GCD of 120, 501, 80, 874 is 1

2. Where do I get the detailed procedure to find GCD of 120, 501, 80, 874?

You can find a detailed procedure to find GCD of 120, 501, 80, 874 on our page.

3. How to find GCD of 120, 501, 80, 874 on a calculator?

You can find the GCD of 120, 501, 80, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.