GCD of 118, 768, 599, 747 Calculator

Given Input numbers are 118, 768, 599, 747

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 747

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

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 118, 768, 599, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 768, 599, 747 is 1.

Therefore, GCD of numbers 118, 768, 599, 747 is 1

Given Input Data is 118, 768, 599, 747

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 599 is 599

Prime Factorization of 747 is 3 x 3 x 83

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(118, 768) = 45312

GCD(118, 768) = ( 118 x 768 ) / 45312

GCD(118, 768) = 90624 / 45312

GCD(118, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 599

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

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

GCD(2, 599) = 1198 / 1198

GCD(2, 599) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 118, 768, 599, 747 is 1

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• GCD of 549, 600, 660, 500
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1. What is the GCD of 118, 768, 599, 747?

GCD of 118, 768, 599, 747 is 1

2. Where do I get the detailed procedure to find GCD of 118, 768, 599, 747?

You can find a detailed procedure to find GCD of 118, 768, 599, 747 on our page.

3. How to find GCD of 118, 768, 599, 747 on a calculator?

You can find the GCD of 118, 768, 599, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.