GCD of 510, 942, 138 Calculator

Given Input numbers are 510, 942, 138

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

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 510, 942, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 942, 138 is 6.

Therefore, GCD of numbers 510, 942, 138 is 6

Given Input Data is 510, 942, 138

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 138 is 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(510, 942) = 80070

GCD(510, 942) = ( 510 x 942 ) / 80070

GCD(510, 942) = 480420 / 80070

GCD(510, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 138

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

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

GCD(6, 138) = 828 / 138

GCD(6, 138) = 6

GCD of 510, 942, 138 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 470, 422
• GCD of 568, 475, 796
• GCD of 404, 675, 993
• GCD of 367, 707, 957
• GCD of 519, 766, 130

1. What is the GCD of 510, 942, 138?

GCD of 510, 942, 138 is 6

2. Where do I get the detailed procedure to find GCD of 510, 942, 138?

You can find a detailed procedure to find GCD of 510, 942, 138 on our page.

3. How to find GCD of 510, 942, 138 on a calculator?

You can find the GCD of 510, 942, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.