GCD of 126, 206, 120, 963 Calculator

Given Input numbers are 126, 206, 120, 963

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 963

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

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 126, 206, 120, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 206, 120, 963 is 1.

Therefore, GCD of numbers 126, 206, 120, 963 is 1

Given Input Data is 126, 206, 120, 963

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 206 is 2 x 103

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 963 is 3 x 3 x 107

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, 206) = 12978

GCD(126, 206) = ( 126 x 206 ) / 12978

GCD(126, 206) = 25956 / 12978

GCD(126, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 963

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

LCM(2, 963) = 1926

GCD(2, 963) = ( 2 x 963 ) / 1926

GCD(2, 963) = 1926 / 1926

GCD(2, 963) = 1

GCD of 126, 206, 120, 963 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 637, 719, 975
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• GCD of 331, 345, 207, 321

1. What is the GCD of 126, 206, 120, 963?

GCD of 126, 206, 120, 963 is 1

2. Where do I get the detailed procedure to find GCD of 126, 206, 120, 963?

You can find a detailed procedure to find GCD of 126, 206, 120, 963 on our page.

3. How to find GCD of 126, 206, 120, 963 on a calculator?

You can find the GCD of 126, 206, 120, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.