GCD of 840, 138, 462, 360 Calculator

Given Input numbers are 840, 138, 462, 360

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 840, 138, 462, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 138, 462, 360 is 6.

Therefore, GCD of numbers 840, 138, 462, 360 is 6

Given Input Data is 840, 138, 462, 360

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(840, 138) = 19320

GCD(840, 138) = ( 840 x 138 ) / 19320

GCD(840, 138) = 115920 / 19320

GCD(840, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 462

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

LCM(6, 462) = 462

GCD(6, 462) = ( 6 x 462 ) / 462

GCD(6, 462) = 2772 / 462

GCD(6, 462) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 360

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

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

GCD(6, 360) = 2160 / 360

GCD(6, 360) = 6

GCD of 840, 138, 462, 360 is 6

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1. What is the GCD of 840, 138, 462, 360?

GCD of 840, 138, 462, 360 is 6

2. Where do I get the detailed procedure to find GCD of 840, 138, 462, 360?

You can find a detailed procedure to find GCD of 840, 138, 462, 360 on our page.

3. How to find GCD of 840, 138, 462, 360 on a calculator?

You can find the GCD of 840, 138, 462, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.