GCD of 600, 252, 60, 501 Calculator

Given Input numbers are 600, 252, 60, 501

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 501

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

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 600, 252, 60, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 252, 60, 501 is 3.

Therefore, GCD of numbers 600, 252, 60, 501 is 3

Given Input Data is 600, 252, 60, 501

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 501 is 3 x 167

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(600, 252) = 12600

GCD(600, 252) = ( 600 x 252 ) / 12600

GCD(600, 252) = 151200 / 12600

GCD(600, 252) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 60

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

LCM(12, 60) = 60

GCD(12, 60) = ( 12 x 60 ) / 60

GCD(12, 60) = 720 / 60

GCD(12, 60) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 501

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

LCM(12, 501) = 2004

GCD(12, 501) = ( 12 x 501 ) / 2004

GCD(12, 501) = 6012 / 2004

GCD(12, 501) = 3

GCD of 600, 252, 60, 501 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 141, 30, 519
• GCD of 695, 473, 24, 166
• GCD of 683, 521, 15, 745
• GCD of 695, 698, 81, 797
• GCD of 765, 301, 65, 468

1. What is the GCD of 600, 252, 60, 501?

GCD of 600, 252, 60, 501 is 3

2. Where do I get the detailed procedure to find GCD of 600, 252, 60, 501?

You can find a detailed procedure to find GCD of 600, 252, 60, 501 on our page.

3. How to find GCD of 600, 252, 60, 501 on a calculator?

You can find the GCD of 600, 252, 60, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.