GCD of 747, 199, 896, 180 Calculator

Given Input numbers are 747, 199, 896, 180

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 747, 199, 896, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 199, 896, 180 is 1.

Therefore, GCD of numbers 747, 199, 896, 180 is 1

Given Input Data is 747, 199, 896, 180

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 199 is 199

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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, 199) = 148653

GCD(747, 199) = ( 747 x 199 ) / 148653

GCD(747, 199) = 148653 / 148653

GCD(747, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 747, 199, 896, 180 is 1

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1. What is the GCD of 747, 199, 896, 180?

GCD of 747, 199, 896, 180 is 1

2. Where do I get the detailed procedure to find GCD of 747, 199, 896, 180?

You can find a detailed procedure to find GCD of 747, 199, 896, 180 on our page.

3. How to find GCD of 747, 199, 896, 180 on a calculator?

You can find the GCD of 747, 199, 896, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.