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GCD of 196, 804, 960, 200 Calculator

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


Online GCD Calculator is useful to find the GCD of 196, 804, 960, 200 quickly. Get the easiest ways to solve the greatest common divisor of 196, 804, 960, 200 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 196, 804, 960, 200 with Factoring?

Given Input numbers are 196, 804, 960, 200

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

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 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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200


GCD of numbers is the greatest common divisor

So, the GCD (196, 804, 960, 200) = 4.

Find GCD of 196, 804, 960, 200 using Prime Factorization

Given numbers are 196, 804, 960, 200

The list of prime factors of all numbers are

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

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 22

Therefore, GCD of 196, 804, 960, 200 is 4.

Steps to Calculate GCD of 196, 804, 960, 200 using LCM Formula

Given numbers are 196, 804, 960, 200

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

Apply this formula for all numbers.

Step1:

LCM(196, 804) = 39396

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

= 196 / 804

= 196


Step2:

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

= 4 / 960

= 4


Step3:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4


So, Greatest Common Divisor of 196, 804, 960, 200 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 196, 804, 960, 200

Given numbers are 196, 804, 960, 200
The greatest common divisor of numbers 196, 804, 960, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 804, 960, 200 is 4.

FAQs on GCD of 196, 804, 960, 200 Calculator

1. What is the GCD of 196, 804, 960, 200?

GCD of given numbers 196, 804, 960, 200 is 4


2. How to calculate the greatest common divisor of 196, 804, 960, 200?

We can find the highest common divisor of 196, 804, 960, 200 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 196, 804, 960, 200 i.e 4.


3. How can I use the GCD of 196, 804, 960, 200Calculator?

Out the numbers 196, 804, 960, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.