GCD of 647, 334, 654, 542 Calculator

Given Input numbers are 647, 334, 654, 542

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

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 647, 334, 654, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 334, 654, 542 is 1.

Therefore, GCD of numbers 647, 334, 654, 542 is 1

Given Input Data is 647, 334, 654, 542

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

Prime Factorization of 647 is 647

Prime Factorization of 334 is 2 x 167

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 542 is 2 x 271

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(647, 334) = 216098

GCD(647, 334) = ( 647 x 334 ) / 216098

GCD(647, 334) = 216098 / 216098

GCD(647, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 647, 334, 654, 542 is 1

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1. What is the GCD of 647, 334, 654, 542?

GCD of 647, 334, 654, 542 is 1

2. Where do I get the detailed procedure to find GCD of 647, 334, 654, 542?

You can find a detailed procedure to find GCD of 647, 334, 654, 542 on our page.

3. How to find GCD of 647, 334, 654, 542 on a calculator?

You can find the GCD of 647, 334, 654, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.