GCD of 537, 674, 78, 392 Calculator

Given Input numbers are 537, 674, 78, 392

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 674

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

1, 2, 337, 674

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 537, 674, 78, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 674, 78, 392 is 1.

Therefore, GCD of numbers 537, 674, 78, 392 is 1

Given Input Data is 537, 674, 78, 392

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 674 is 2 x 337

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(537, 674) = 361938

GCD(537, 674) = ( 537 x 674 ) / 361938

GCD(537, 674) = 361938 / 361938

GCD(537, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 537, 674, 78, 392 is 1

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1. What is the GCD of 537, 674, 78, 392?

GCD of 537, 674, 78, 392 is 1

2. Where do I get the detailed procedure to find GCD of 537, 674, 78, 392?

You can find a detailed procedure to find GCD of 537, 674, 78, 392 on our page.

3. How to find GCD of 537, 674, 78, 392 on a calculator?

You can find the GCD of 537, 674, 78, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.