GCD of 753, 836, 123, 126 Calculator

Given Input numbers are 753, 836, 123, 126

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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 753, 836, 123, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 836, 123, 126 is 1.

Therefore, GCD of numbers 753, 836, 123, 126 is 1

Given Input Data is 753, 836, 123, 126

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 123 is 3 x 41

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

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(753, 836) = 629508

GCD(753, 836) = ( 753 x 836 ) / 629508

GCD(753, 836) = 629508 / 629508

GCD(753, 836) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 753, 836, 123, 126 is 1

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1. What is the GCD of 753, 836, 123, 126?

GCD of 753, 836, 123, 126 is 1

2. Where do I get the detailed procedure to find GCD of 753, 836, 123, 126?

You can find a detailed procedure to find GCD of 753, 836, 123, 126 on our page.

3. How to find GCD of 753, 836, 123, 126 on a calculator?

You can find the GCD of 753, 836, 123, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.