GCD of 984, 959, 34, 731 Calculator

Given Input numbers are 984, 959, 34, 731

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 731

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

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 984, 959, 34, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 959, 34, 731 is 1.

Therefore, GCD of numbers 984, 959, 34, 731 is 1

Given Input Data is 984, 959, 34, 731

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 959 is 7 x 137

Prime Factorization of 34 is 2 x 17

Prime Factorization of 731 is 17 x 43

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(984, 959) = 943656

GCD(984, 959) = ( 984 x 959 ) / 943656

GCD(984, 959) = 943656 / 943656

GCD(984, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 984, 959, 34, 731 is 1

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1. What is the GCD of 984, 959, 34, 731?

GCD of 984, 959, 34, 731 is 1

2. Where do I get the detailed procedure to find GCD of 984, 959, 34, 731?

You can find a detailed procedure to find GCD of 984, 959, 34, 731 on our page.

3. How to find GCD of 984, 959, 34, 731 on a calculator?

You can find the GCD of 984, 959, 34, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.