GCD of 639, 597, 612, 749 Calculator

Given Input numbers are 639, 597, 612, 749

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 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 639, 597, 612, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 597, 612, 749 is 1.

Therefore, GCD of numbers 639, 597, 612, 749 is 1

Given Input Data is 639, 597, 612, 749

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 597 is 3 x 199

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 749 is 7 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(639, 597) = 127161

GCD(639, 597) = ( 639 x 597 ) / 127161

GCD(639, 597) = 381483 / 127161

GCD(639, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 612

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

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

GCD(3, 612) = 1836 / 612

GCD(3, 612) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 749

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

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

GCD(3, 749) = 2247 / 2247

GCD(3, 749) = 1

GCD of 639, 597, 612, 749 is 1

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1. What is the GCD of 639, 597, 612, 749?

GCD of 639, 597, 612, 749 is 1

2. Where do I get the detailed procedure to find GCD of 639, 597, 612, 749?

You can find a detailed procedure to find GCD of 639, 597, 612, 749 on our page.

3. How to find GCD of 639, 597, 612, 749 on a calculator?

You can find the GCD of 639, 597, 612, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.