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GCD of 921, 814, 122 Calculator

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


Online GCD Calculator is useful to find the GCD of 921, 814, 122 quickly. Get the easiest ways to solve the greatest common divisor of 921, 814, 122 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 921, 814, 122 with Factoring?

Given Input numbers are 921, 814, 122

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122


GCD of numbers is the greatest common divisor

So, the GCD (921, 814, 122) = 1.

Find GCD of 921, 814, 122 using Prime Factorization

Given numbers are 921, 814, 122

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 814 are 2 x 11 x 37

Prime factors of 122 are 2 x 61

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

Steps to Calculate GCD of 921, 814, 122 using LCM Formula

Given numbers are 921, 814, 122

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

Apply this formula for all numbers.

Step1:

LCM(921, 814) = 749694

GCD(921, 814) = ( 921 x 814 ) / 749694

= 921 / 814

= 921


Step2:

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

= 1 / 122

= 1


So, Greatest Common Divisor of 921, 814, 122 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 921, 814, 122

Given numbers are 921, 814, 122
The greatest common divisor of numbers 921, 814, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 814, 122 is 1.

FAQs on GCD of 921, 814, 122 Calculator

1. What is the GCD of 921, 814, 122?

GCD of given numbers 921, 814, 122 is 1


2. How to calculate the greatest common divisor of 921, 814, 122?

We can find the highest common divisor of 921, 814, 122 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 921, 814, 122 i.e 1.


3. How can I use the GCD of 921, 814, 122Calculator?

Out the numbers 921, 814, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.