GCD of 126, 870, 963, 818 Calculator

Given Input numbers are 126, 870, 963, 818

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 126, 870, 963, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 870, 963, 818 is 1.

Therefore, GCD of numbers 126, 870, 963, 818 is 1

Given Input Data is 126, 870, 963, 818

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 818 is 2 x 409

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, 870) = 18270

GCD(126, 870) = ( 126 x 870 ) / 18270

GCD(126, 870) = 109620 / 18270

GCD(126, 870) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 963

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

LCM(6, 963) = 1926

GCD(6, 963) = ( 6 x 963 ) / 1926

GCD(6, 963) = 5778 / 1926

GCD(6, 963) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 818

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

LCM(3, 818) = 2454

GCD(3, 818) = ( 3 x 818 ) / 2454

GCD(3, 818) = 2454 / 2454

GCD(3, 818) = 1

GCD of 126, 870, 963, 818 is 1

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1. What is the GCD of 126, 870, 963, 818?

GCD of 126, 870, 963, 818 is 1

2. Where do I get the detailed procedure to find GCD of 126, 870, 963, 818?

You can find a detailed procedure to find GCD of 126, 870, 963, 818 on our page.

3. How to find GCD of 126, 870, 963, 818 on a calculator?

You can find the GCD of 126, 870, 963, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.