GCD of 872, 282, 650, 126 Calculator

Given Input numbers are 872, 282, 650, 126

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Greatest Common Divisior

We found the divisors of 872, 282, 650, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 282, 650, 126 is 2.

Therefore, GCD of numbers 872, 282, 650, 126 is 2

Given Input Data is 872, 282, 650, 126

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 126 is 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(872, 282) = 122952

GCD(872, 282) = ( 872 x 282 ) / 122952

GCD(872, 282) = 245904 / 122952

GCD(872, 282) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 872, 282, 650, 126 is 2

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1. What is the GCD of 872, 282, 650, 126?

GCD of 872, 282, 650, 126 is 2

2. Where do I get the detailed procedure to find GCD of 872, 282, 650, 126?

You can find a detailed procedure to find GCD of 872, 282, 650, 126 on our page.

3. How to find GCD of 872, 282, 650, 126 on a calculator?

You can find the GCD of 872, 282, 650, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.