GCD of 503, 750, 138 Calculator

Given Input numbers are 503, 750, 138

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 503, 750, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 750, 138 is 1.

Therefore, GCD of numbers 503, 750, 138 is 1

Given Input Data is 503, 750, 138

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

Prime Factorization of 503 is 503

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

Prime Factorization of 138 is 2 x 3 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(503, 750) = 377250

GCD(503, 750) = ( 503 x 750 ) / 377250

GCD(503, 750) = 377250 / 377250

GCD(503, 750) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 503, 750, 138 is 1

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1. What is the GCD of 503, 750, 138?

GCD of 503, 750, 138 is 1

2. Where do I get the detailed procedure to find GCD of 503, 750, 138?

You can find a detailed procedure to find GCD of 503, 750, 138 on our page.

3. How to find GCD of 503, 750, 138 on a calculator?

You can find the GCD of 503, 750, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.