GCD of 654, 255, 624, 761 Calculator

Given Input numbers are 654, 255, 624, 761

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

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 654, 255, 624, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 255, 624, 761 is 1.

Therefore, GCD of numbers 654, 255, 624, 761 is 1

Given Input Data is 654, 255, 624, 761

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 761 is 761

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(654, 255) = 55590

GCD(654, 255) = ( 654 x 255 ) / 55590

GCD(654, 255) = 166770 / 55590

GCD(654, 255) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 624

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

LCM(3, 624) = 624

GCD(3, 624) = ( 3 x 624 ) / 624

GCD(3, 624) = 1872 / 624

GCD(3, 624) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 761

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

LCM(3, 761) = 2283

GCD(3, 761) = ( 3 x 761 ) / 2283

GCD(3, 761) = 2283 / 2283

GCD(3, 761) = 1

GCD of 654, 255, 624, 761 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 513, 470, 318
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• GCD of 134, 780, 200, 666
• GCD of 459, 735, 577, 789
• GCD of 250, 240, 727, 981

1. What is the GCD of 654, 255, 624, 761?

GCD of 654, 255, 624, 761 is 1

2. Where do I get the detailed procedure to find GCD of 654, 255, 624, 761?

You can find a detailed procedure to find GCD of 654, 255, 624, 761 on our page.

3. How to find GCD of 654, 255, 624, 761 on a calculator?

You can find the GCD of 654, 255, 624, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.