GCD of 199, 261, 972, 718 Calculator

Given Input numbers are 199, 261, 972, 718

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

Divisors of 199

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

1, 199

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 199, 261, 972, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 261, 972, 718 is 1.

Therefore, GCD of numbers 199, 261, 972, 718 is 1

Given Input Data is 199, 261, 972, 718

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

Prime Factorization of 199 is 199

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 718 is 2 x 359

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(199, 261) = 51939

GCD(199, 261) = ( 199 x 261 ) / 51939

GCD(199, 261) = 51939 / 51939

GCD(199, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 199, 261, 972, 718 is 1

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1. What is the GCD of 199, 261, 972, 718?

GCD of 199, 261, 972, 718 is 1

2. Where do I get the detailed procedure to find GCD of 199, 261, 972, 718?

You can find a detailed procedure to find GCD of 199, 261, 972, 718 on our page.

3. How to find GCD of 199, 261, 972, 718 on a calculator?

You can find the GCD of 199, 261, 972, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.