GCD of 84, 276, 600, 637 Calculator

Given Input numbers are 84, 276, 600, 637

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 84, 276, 600, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 276, 600, 637 is 1.

Therefore, GCD of numbers 84, 276, 600, 637 is 1

Given Input Data is 84, 276, 600, 637

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 637 is 7 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, 276) = 1932

GCD(84, 276) = ( 84 x 276 ) / 1932

GCD(84, 276) = 23184 / 1932

GCD(84, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 600

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

LCM(12, 600) = 600

GCD(12, 600) = ( 12 x 600 ) / 600

GCD(12, 600) = 7200 / 600

GCD(12, 600) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 637

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

LCM(12, 637) = 7644

GCD(12, 637) = ( 12 x 637 ) / 7644

GCD(12, 637) = 7644 / 7644

GCD(12, 637) = 1

GCD of 84, 276, 600, 637 is 1

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• GCD of 94, 261, 283, 660
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• GCD of 64, 272, 584, 316

1. What is the GCD of 84, 276, 600, 637?

GCD of 84, 276, 600, 637 is 1

2. Where do I get the detailed procedure to find GCD of 84, 276, 600, 637?

You can find a detailed procedure to find GCD of 84, 276, 600, 637 on our page.

3. How to find GCD of 84, 276, 600, 637 on a calculator?

You can find the GCD of 84, 276, 600, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.