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GCD of 804, 196, 636, 978 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 196, 636, 978 quickly. Get the easiest ways to solve the greatest common divisor of 804, 196, 636, 978 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 196, 636, 978 with Factoring?

Given Input numbers are 804, 196, 636, 978

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

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978


GCD of numbers is the greatest common divisor

So, the GCD (804, 196, 636, 978) = 2.

Find GCD of 804, 196, 636, 978 using Prime Factorization

Given numbers are 804, 196, 636, 978

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 21

Therefore, GCD of 804, 196, 636, 978 is 2.

Steps to Calculate GCD of 804, 196, 636, 978 using LCM Formula

Given numbers are 804, 196, 636, 978

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

Apply this formula for all numbers.

Step1:

LCM(804, 196) = 39396

GCD(804, 196) = ( 804 x 196 ) / 39396

= 804 / 196

= 804


Step2:

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

= 4 / 636

= 4


Step3:

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

= 4 / 978

= 4


So, Greatest Common Divisor of 804, 196, 636, 978 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 196, 636, 978

Given numbers are 804, 196, 636, 978
The greatest common divisor of numbers 804, 196, 636, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 196, 636, 978 is 2.

FAQs on GCD of 804, 196, 636, 978 Calculator

1. What is the GCD of 804, 196, 636, 978?

GCD of given numbers 804, 196, 636, 978 is 2


2. How to calculate the greatest common divisor of 804, 196, 636, 978?

We can find the highest common divisor of 804, 196, 636, 978 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 804, 196, 636, 978 i.e 2.


3. How can I use the GCD of 804, 196, 636, 978Calculator?

Out the numbers 804, 196, 636, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.