GCD of 684, 552, 27, 375 Calculator

Given Input numbers are 684, 552, 27, 375

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 684, 552, 27, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 552, 27, 375 is 3.

Therefore, GCD of numbers 684, 552, 27, 375 is 3

Given Input Data is 684, 552, 27, 375

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 375 is 3 x 5 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(684, 552) = 31464

GCD(684, 552) = ( 684 x 552 ) / 31464

GCD(684, 552) = 377568 / 31464

GCD(684, 552) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 27

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

LCM(12, 27) = 108

GCD(12, 27) = ( 12 x 27 ) / 108

GCD(12, 27) = 324 / 108

GCD(12, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 375

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

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

GCD(3, 375) = 1125 / 375

GCD(3, 375) = 3

GCD of 684, 552, 27, 375 is 3

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• GCD of 894, 284, 43, 272
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1. What is the GCD of 684, 552, 27, 375?

GCD of 684, 552, 27, 375 is 3

2. Where do I get the detailed procedure to find GCD of 684, 552, 27, 375?

You can find a detailed procedure to find GCD of 684, 552, 27, 375 on our page.

3. How to find GCD of 684, 552, 27, 375 on a calculator?

You can find the GCD of 684, 552, 27, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.