GCD of 84, 120, 675, 364 Calculator

Given Input numbers are 84, 120, 675, 364

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 84, 120, 675, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 120, 675, 364 is 1.

Therefore, GCD of numbers 84, 120, 675, 364 is 1

Given Input Data is 84, 120, 675, 364

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(84, 120) = 840

GCD(84, 120) = ( 84 x 120 ) / 840

GCD(84, 120) = 10080 / 840

GCD(84, 120) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 675

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

LCM(12, 675) = 2700

GCD(12, 675) = ( 12 x 675 ) / 2700

GCD(12, 675) = 8100 / 2700

GCD(12, 675) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 364

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

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

GCD(3, 364) = 1092 / 1092

GCD(3, 364) = 1

GCD of 84, 120, 675, 364 is 1

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1. What is the GCD of 84, 120, 675, 364?

GCD of 84, 120, 675, 364 is 1

2. Where do I get the detailed procedure to find GCD of 84, 120, 675, 364?

You can find a detailed procedure to find GCD of 84, 120, 675, 364 on our page.

3. How to find GCD of 84, 120, 675, 364 on a calculator?

You can find the GCD of 84, 120, 675, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.