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GCD of 981, 456, 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 981, 456, 823 quickly. Get the easiest ways to solve the greatest common divisor of 981, 456, 823 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 981, 456, 823 with Factoring?

Given Input numbers are 981, 456, 823

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (981, 456, 823) = 1.

Find GCD of 981, 456, 823 using Prime Factorization

Given numbers are 981, 456, 823

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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 981, 456, 823 using LCM Formula

Given numbers are 981, 456, 823

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

Apply this formula for all numbers.

Step1:

LCM(981, 456) = 149112

GCD(981, 456) = ( 981 x 456 ) / 149112

= 981 / 456

= 981


Step2:

LCM(3, 823) = 2469

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

= 3 / 823

= 3


So, Greatest Common Divisor of 981, 456, 823 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 981, 456, 823

Given numbers are 981, 456, 823
The greatest common divisor of numbers 981, 456, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 456, 823 is 1.

FAQs on GCD of 981, 456, 823 Calculator

1. What is the GCD of 981, 456, 823?

GCD of given numbers 981, 456, 823 is 1


2. How to calculate the greatest common divisor of 981, 456, 823?

We can find the highest common divisor of 981, 456, 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 981, 456, 823 i.e 1.


3. How can I use the GCD of 981, 456, 823Calculator?

Out the numbers 981, 456, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.