GCD of 786, 842, 674, 639 Calculator

Given Input numbers are 786, 842, 674, 639

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 674

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

1, 2, 337, 674

Divisors of 639

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

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 786, 842, 674, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 842, 674, 639 is 1.

Therefore, GCD of numbers 786, 842, 674, 639 is 1

Given Input Data is 786, 842, 674, 639

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 842 is 2 x 421

Prime Factorization of 674 is 2 x 337

Prime Factorization of 639 is 3 x 3 x 71

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(786, 842) = 330906

GCD(786, 842) = ( 786 x 842 ) / 330906

GCD(786, 842) = 661812 / 330906

GCD(786, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 639

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

LCM(2, 639) = 1278

GCD(2, 639) = ( 2 x 639 ) / 1278

GCD(2, 639) = 1278 / 1278

GCD(2, 639) = 1

GCD of 786, 842, 674, 639 is 1

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1. What is the GCD of 786, 842, 674, 639?

GCD of 786, 842, 674, 639 is 1

2. Where do I get the detailed procedure to find GCD of 786, 842, 674, 639?

You can find a detailed procedure to find GCD of 786, 842, 674, 639 on our page.

3. How to find GCD of 786, 842, 674, 639 on a calculator?

You can find the GCD of 786, 842, 674, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.