GCD of 647, 116, 120, 654 Calculator

Given Input numbers are 647, 116, 120, 654

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 654

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

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

Greatest Common Divisior

We found the divisors of 647, 116, 120, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 116, 120, 654 is 1.

Therefore, GCD of numbers 647, 116, 120, 654 is 1

Given Input Data is 647, 116, 120, 654

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

Prime Factorization of 647 is 647

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 654 is 2 x 3 x 109

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, 116) = 75052

GCD(647, 116) = ( 647 x 116 ) / 75052

GCD(647, 116) = 75052 / 75052

GCD(647, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

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

GCD of 647, 116, 120, 654 is 1

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• GCD of 233, 780, 974, 691
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1. What is the GCD of 647, 116, 120, 654?

GCD of 647, 116, 120, 654 is 1

2. Where do I get the detailed procedure to find GCD of 647, 116, 120, 654?

You can find a detailed procedure to find GCD of 647, 116, 120, 654 on our page.

3. How to find GCD of 647, 116, 120, 654 on a calculator?

You can find the GCD of 647, 116, 120, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.