GCD of 731, 839, 974, 428 Calculator

Given Input numbers are 731, 839, 974, 428

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 731, 839, 974, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 839, 974, 428 is 1.

Therefore, GCD of numbers 731, 839, 974, 428 is 1

Given Input Data is 731, 839, 974, 428

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 839 is 839

Prime Factorization of 974 is 2 x 487

Prime Factorization of 428 is 2 x 2 x 107

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(731, 839) = 613309

GCD(731, 839) = ( 731 x 839 ) / 613309

GCD(731, 839) = 613309 / 613309

GCD(731, 839) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 731, 839, 974, 428 is 1

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1. What is the GCD of 731, 839, 974, 428?

GCD of 731, 839, 974, 428 is 1

2. Where do I get the detailed procedure to find GCD of 731, 839, 974, 428?

You can find a detailed procedure to find GCD of 731, 839, 974, 428 on our page.

3. How to find GCD of 731, 839, 974, 428 on a calculator?

You can find the GCD of 731, 839, 974, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.