GCD of 507, 249, 123, 750 Calculator

Given Input numbers are 507, 249, 123, 750

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 507, 249, 123, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 249, 123, 750 is 3.

Therefore, GCD of numbers 507, 249, 123, 750 is 3

Given Input Data is 507, 249, 123, 750

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 249 is 3 x 83

Prime Factorization of 123 is 3 x 41

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(507, 249) = 42081

GCD(507, 249) = ( 507 x 249 ) / 42081

GCD(507, 249) = 126243 / 42081

GCD(507, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 123

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

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

GCD(3, 123) = 369 / 123

GCD(3, 123) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 750

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

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

GCD(3, 750) = 2250 / 750

GCD(3, 750) = 3

GCD of 507, 249, 123, 750 is 3

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1. What is the GCD of 507, 249, 123, 750?

GCD of 507, 249, 123, 750 is 3

2. Where do I get the detailed procedure to find GCD of 507, 249, 123, 750?

You can find a detailed procedure to find GCD of 507, 249, 123, 750 on our page.

3. How to find GCD of 507, 249, 123, 750 on a calculator?

You can find the GCD of 507, 249, 123, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.