GCD of 138, 543, 50, 750 Calculator

Given Input numbers are 138, 543, 50, 750

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

Divisors of 138

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

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

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 138, 543, 50, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 543, 50, 750 is 1.

Therefore, GCD of numbers 138, 543, 50, 750 is 1

Given Input Data is 138, 543, 50, 750

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 543 is 3 x 181

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 750 is 2 x 3 x 5 x 5 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(138, 543) = 24978

GCD(138, 543) = ( 138 x 543 ) / 24978

GCD(138, 543) = 74934 / 24978

GCD(138, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 50

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

LCM(3, 50) = 150

GCD(3, 50) = ( 3 x 50 ) / 150

GCD(3, 50) = 150 / 150

GCD(3, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 138, 543, 50, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 399, 79, 713
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• GCD of 342, 321, 32, 248
• GCD of 284, 341, 99, 954
• GCD of 640, 640, 89, 314

1. What is the GCD of 138, 543, 50, 750?

GCD of 138, 543, 50, 750 is 1

2. Where do I get the detailed procedure to find GCD of 138, 543, 50, 750?

You can find a detailed procedure to find GCD of 138, 543, 50, 750 on our page.

3. How to find GCD of 138, 543, 50, 750 on a calculator?

You can find the GCD of 138, 543, 50, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.