GCD of 159, 774, 314, 628 Calculator

Given Input numbers are 159, 774, 314, 628

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

Divisors of 159

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

1, 3, 53, 159

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 159, 774, 314, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 774, 314, 628 is 1.

Therefore, GCD of numbers 159, 774, 314, 628 is 1

Given Input Data is 159, 774, 314, 628

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 314 is 2 x 157

Prime Factorization of 628 is 2 x 2 x 157

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(159, 774) = 41022

GCD(159, 774) = ( 159 x 774 ) / 41022

GCD(159, 774) = 123066 / 41022

GCD(159, 774) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 314

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

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

GCD(3, 314) = 942 / 942

GCD(3, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 159, 774, 314, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 190, 453, 314
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• GCD of 713, 412, 371, 707
• GCD of 942, 131, 573, 674

1. What is the GCD of 159, 774, 314, 628?

GCD of 159, 774, 314, 628 is 1

2. Where do I get the detailed procedure to find GCD of 159, 774, 314, 628?

You can find a detailed procedure to find GCD of 159, 774, 314, 628 on our page.

3. How to find GCD of 159, 774, 314, 628 on a calculator?

You can find the GCD of 159, 774, 314, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.