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GCD of 126, 838, 909, 500 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 126, 838, 909, 500 quickly. Get the easiest ways to solve the greatest common divisor of 126, 838, 909, 500 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 126, 838, 909, 500 with Factoring?

Given Input numbers are 126, 838, 909, 500

In the factoring method, we have to find the divisors of all numbers

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500


GCD of numbers is the greatest common divisor

So, the GCD (126, 838, 909, 500) = 1.

Find GCD of 126, 838, 909, 500 using Prime Factorization

Given numbers are 126, 838, 909, 500

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 838 are 2 x 419

Prime factors of 909 are 3 x 3 x 101

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 126, 838, 909, 500 using LCM Formula

Given numbers are 126, 838, 909, 500

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(126, 838) = 52794

GCD(126, 838) = ( 126 x 838 ) / 52794

= 126 / 838

= 126


Step2:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2


Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


So, Greatest Common Divisor of 126, 838, 909, 500 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 126, 838, 909, 500

Given numbers are 126, 838, 909, 500
The greatest common divisor of numbers 126, 838, 909, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 838, 909, 500 is 1.

FAQs on GCD of 126, 838, 909, 500 Calculator

1. What is the GCD of 126, 838, 909, 500?

GCD of given numbers 126, 838, 909, 500 is 1


2. How to calculate the greatest common divisor of 126, 838, 909, 500?

We can find the highest common divisor of 126, 838, 909, 500 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 126, 838, 909, 500 i.e 1.


3. How can I use the GCD of 126, 838, 909, 500Calculator?

Out the numbers 126, 838, 909, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.