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GCD of 126, 111, 321, 823 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, 111, 321, 823 quickly. Get the easiest ways to solve the greatest common divisor of 126, 111, 321, 823 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 126, 111, 321, 823 with Factoring?

Given Input numbers are 126, 111, 321, 823

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823


GCD of numbers is the greatest common divisor

So, the GCD (126, 111, 321, 823) = 1.

Find GCD of 126, 111, 321, 823 using Prime Factorization

Given numbers are 126, 111, 321, 823

The list of prime factors of all numbers are

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

Prime factors of 111 are 3 x 37

Prime factors of 321 are 3 x 107

Prime factors of 823 are 823

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

Steps to Calculate GCD of 126, 111, 321, 823 using LCM Formula

Given numbers are 126, 111, 321, 823

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

Apply this formula for all numbers.

Step1:

LCM(126, 111) = 4662

GCD(126, 111) = ( 126 x 111 ) / 4662

= 126 / 111

= 126


Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3


Step3:

LCM(3, 823) = 2469

GCD(3, 823) = ( 3 x 823 ) / 2469

= 3 / 823

= 3


So, Greatest Common Divisor of 126, 111, 321, 823 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 126, 111, 321, 823

Given numbers are 126, 111, 321, 823
The greatest common divisor of numbers 126, 111, 321, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 111, 321, 823 is 1.

FAQs on GCD of 126, 111, 321, 823 Calculator

1. What is the GCD of 126, 111, 321, 823?

GCD of given numbers 126, 111, 321, 823 is 1


2. How to calculate the greatest common divisor of 126, 111, 321, 823?

We can find the highest common divisor of 126, 111, 321, 823 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, 111, 321, 823 i.e 1.


3. How can I use the GCD of 126, 111, 321, 823Calculator?

Out the numbers 126, 111, 321, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.