GCD of 974, 224, 39, 159 Calculator

Given Input numbers are 974, 224, 39, 159

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 974, 224, 39, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 224, 39, 159 is 1.

Therefore, GCD of numbers 974, 224, 39, 159 is 1

Given Input Data is 974, 224, 39, 159

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 39 is 3 x 13

Prime Factorization of 159 is 3 x 53

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(974, 224) = 109088

GCD(974, 224) = ( 974 x 224 ) / 109088

GCD(974, 224) = 218176 / 109088

GCD(974, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 974, 224, 39, 159 is 1

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1. What is the GCD of 974, 224, 39, 159?

GCD of 974, 224, 39, 159 is 1

2. Where do I get the detailed procedure to find GCD of 974, 224, 39, 159?

You can find a detailed procedure to find GCD of 974, 224, 39, 159 on our page.

3. How to find GCD of 974, 224, 39, 159 on a calculator?

You can find the GCD of 974, 224, 39, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.