GCD of 876, 286, 51, 654 Calculator

Given Input numbers are 876, 286, 51, 654

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 876, 286, 51, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 286, 51, 654 is 1.

Therefore, GCD of numbers 876, 286, 51, 654 is 1

Given Input Data is 876, 286, 51, 654

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 51 is 3 x 17

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(876, 286) = 125268

GCD(876, 286) = ( 876 x 286 ) / 125268

GCD(876, 286) = 250536 / 125268

GCD(876, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 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 876, 286, 51, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 296, 18, 455
• GCD of 774, 609, 96, 381
• GCD of 686, 283, 28, 174
• GCD of 430, 372, 33, 296
• GCD of 349, 636, 42, 857

1. What is the GCD of 876, 286, 51, 654?

GCD of 876, 286, 51, 654 is 1

2. Where do I get the detailed procedure to find GCD of 876, 286, 51, 654?

You can find a detailed procedure to find GCD of 876, 286, 51, 654 on our page.

3. How to find GCD of 876, 286, 51, 654 on a calculator?

You can find the GCD of 876, 286, 51, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.