GCD of 747, 684, 600, 238 Calculator

Given Input numbers are 747, 684, 600, 238

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 747, 684, 600, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 684, 600, 238 is 1.

Therefore, GCD of numbers 747, 684, 600, 238 is 1

Given Input Data is 747, 684, 600, 238

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

Prime Factorization of 747 is 3 x 3 x 83

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

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

Prime Factorization of 238 is 2 x 7 x 17

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(747, 684) = 56772

GCD(747, 684) = ( 747 x 684 ) / 56772

GCD(747, 684) = 510948 / 56772

GCD(747, 684) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 600

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

LCM(9, 600) = 1800

GCD(9, 600) = ( 9 x 600 ) / 1800

GCD(9, 600) = 5400 / 1800

GCD(9, 600) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 238

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

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

GCD(3, 238) = 714 / 714

GCD(3, 238) = 1

GCD of 747, 684, 600, 238 is 1

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1. What is the GCD of 747, 684, 600, 238?

GCD of 747, 684, 600, 238 is 1

2. Where do I get the detailed procedure to find GCD of 747, 684, 600, 238?

You can find a detailed procedure to find GCD of 747, 684, 600, 238 on our page.

3. How to find GCD of 747, 684, 600, 238 on a calculator?

You can find the GCD of 747, 684, 600, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.