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GCD of 678, 981, 804, 633 Calculator

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


Online GCD Calculator is useful to find the GCD of 678, 981, 804, 633 quickly. Get the easiest ways to solve the greatest common divisor of 678, 981, 804, 633 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 678, 981, 804, 633 with Factoring?

Given Input numbers are 678, 981, 804, 633

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633


GCD of numbers is the greatest common divisor

So, the GCD (678, 981, 804, 633) = 3.

Find GCD of 678, 981, 804, 633 using Prime Factorization

Given numbers are 678, 981, 804, 633

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 981 are 3 x 3 x 109

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 633 are 3 x 211

The highest common occurrence is 31

Therefore, GCD of 678, 981, 804, 633 is 3.

Steps to Calculate GCD of 678, 981, 804, 633 using LCM Formula

Given numbers are 678, 981, 804, 633

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

Apply this formula for all numbers.

Step1:

LCM(678, 981) = 221706

GCD(678, 981) = ( 678 x 981 ) / 221706

= 678 / 981

= 678


Step2:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3


Step3:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3


So, Greatest Common Divisor of 678, 981, 804, 633 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 678, 981, 804, 633

Given numbers are 678, 981, 804, 633
The greatest common divisor of numbers 678, 981, 804, 633 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 981, 804, 633 is 3.

FAQs on GCD of 678, 981, 804, 633 Calculator

1. What is the GCD of 678, 981, 804, 633?

GCD of given numbers 678, 981, 804, 633 is 3


2. How to calculate the greatest common divisor of 678, 981, 804, 633?

We can find the highest common divisor of 678, 981, 804, 633 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 678, 981, 804, 633 i.e 3.


3. How can I use the GCD of 678, 981, 804, 633Calculator?

Out the numbers 678, 981, 804, 633 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.