GCD of 712, 261, 800, 994 Calculator

Given Input numbers are 712, 261, 800, 994

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 261

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

1, 3, 9, 29, 87, 261

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 712, 261, 800, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 261, 800, 994 is 1.

Therefore, GCD of numbers 712, 261, 800, 994 is 1

Given Input Data is 712, 261, 800, 994

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 994 is 2 x 7 x 71

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(712, 261) = 185832

GCD(712, 261) = ( 712 x 261 ) / 185832

GCD(712, 261) = 185832 / 185832

GCD(712, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 712, 261, 800, 994 is 1

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1. What is the GCD of 712, 261, 800, 994?

GCD of 712, 261, 800, 994 is 1

2. Where do I get the detailed procedure to find GCD of 712, 261, 800, 994?

You can find a detailed procedure to find GCD of 712, 261, 800, 994 on our page.

3. How to find GCD of 712, 261, 800, 994 on a calculator?

You can find the GCD of 712, 261, 800, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.