GCD of 126, 550, 563, 902 Calculator

Given Input numbers are 126, 550, 563, 902

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

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 126, 550, 563, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 550, 563, 902 is 1.

Therefore, GCD of numbers 126, 550, 563, 902 is 1

Given Input Data is 126, 550, 563, 902

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

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 563 is 563

Prime Factorization of 902 is 2 x 11 x 41

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(126, 550) = 34650

GCD(126, 550) = ( 126 x 550 ) / 34650

GCD(126, 550) = 69300 / 34650

GCD(126, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 126, 550, 563, 902 is 1

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1. What is the GCD of 126, 550, 563, 902?

GCD of 126, 550, 563, 902 is 1

2. Where do I get the detailed procedure to find GCD of 126, 550, 563, 902?

You can find a detailed procedure to find GCD of 126, 550, 563, 902 on our page.

3. How to find GCD of 126, 550, 563, 902 on a calculator?

You can find the GCD of 126, 550, 563, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.