GCD of 639, 310, 564, 674 Calculator

Given Input numbers are 639, 310, 564, 674

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 639, 310, 564, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 310, 564, 674 is 1.

Therefore, GCD of numbers 639, 310, 564, 674 is 1

Given Input Data is 639, 310, 564, 674

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 674 is 2 x 337

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(639, 310) = 198090

GCD(639, 310) = ( 639 x 310 ) / 198090

GCD(639, 310) = 198090 / 198090

GCD(639, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 639, 310, 564, 674 is 1

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1. What is the GCD of 639, 310, 564, 674?

GCD of 639, 310, 564, 674 is 1

2. Where do I get the detailed procedure to find GCD of 639, 310, 564, 674?

You can find a detailed procedure to find GCD of 639, 310, 564, 674 on our page.

3. How to find GCD of 639, 310, 564, 674 on a calculator?

You can find the GCD of 639, 310, 564, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.