GCD of 899, 374, 992, 724 Calculator

Given Input numbers are 899, 374, 992, 724

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 899, 374, 992, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 374, 992, 724 is 1.

Therefore, GCD of numbers 899, 374, 992, 724 is 1

Given Input Data is 899, 374, 992, 724

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 724 is 2 x 2 x 181

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(899, 374) = 336226

GCD(899, 374) = ( 899 x 374 ) / 336226

GCD(899, 374) = 336226 / 336226

GCD(899, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 899, 374, 992, 724 is 1

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1. What is the GCD of 899, 374, 992, 724?

GCD of 899, 374, 992, 724 is 1

2. Where do I get the detailed procedure to find GCD of 899, 374, 992, 724?

You can find a detailed procedure to find GCD of 899, 374, 992, 724 on our page.

3. How to find GCD of 899, 374, 992, 724 on a calculator?

You can find the GCD of 899, 374, 992, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.