GCD of 940, 810, 50, 138 Calculator

Given Input numbers are 940, 810, 50, 138

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 50

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

1, 2, 5, 10, 25, 50

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 940, 810, 50, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 810, 50, 138 is 2.

Therefore, GCD of numbers 940, 810, 50, 138 is 2

Given Input Data is 940, 810, 50, 138

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(940, 810) = 76140

GCD(940, 810) = ( 940 x 810 ) / 76140

GCD(940, 810) = 761400 / 76140

GCD(940, 810) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 50

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

LCM(10, 50) = 50

GCD(10, 50) = ( 10 x 50 ) / 50

GCD(10, 50) = 500 / 50

GCD(10, 50) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 138

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

LCM(10, 138) = 690

GCD(10, 138) = ( 10 x 138 ) / 690

GCD(10, 138) = 1380 / 690

GCD(10, 138) = 2

GCD of 940, 810, 50, 138 is 2

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1. What is the GCD of 940, 810, 50, 138?

GCD of 940, 810, 50, 138 is 2

2. Where do I get the detailed procedure to find GCD of 940, 810, 50, 138?

You can find a detailed procedure to find GCD of 940, 810, 50, 138 on our page.

3. How to find GCD of 940, 810, 50, 138 on a calculator?

You can find the GCD of 940, 810, 50, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.