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GCD of 844, 276, 196, 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 844, 276, 196, 200 quickly. Get the easiest ways to solve the greatest common divisor of 844, 276, 196, 200 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 844, 276, 196, 200 with Factoring?

Given Input numbers are 844, 276, 196, 200

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 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 (844, 276, 196, 200) = 4.

Find GCD of 844, 276, 196, 200 using Prime Factorization

Given numbers are 844, 276, 196, 200

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

Prime factors of 276 are 2 x 2 x 3 x 23

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

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

The highest common occurrence is 22

Therefore, GCD of 844, 276, 196, 200 is 4.

Steps to Calculate GCD of 844, 276, 196, 200 using LCM Formula

Given numbers are 844, 276, 196, 200

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

Apply this formula for all numbers.

Step1:

LCM(844, 276) = 58236

GCD(844, 276) = ( 844 x 276 ) / 58236

= 844 / 276

= 844


Step2:

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

= 4 / 196

= 4


Step3:

LCM(4, 200) = 200

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

= 4 / 200

= 4


So, Greatest Common Divisor of 844, 276, 196, 200 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 844, 276, 196, 200

Given numbers are 844, 276, 196, 200
The greatest common divisor of numbers 844, 276, 196, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 276, 196, 200 is 4.

FAQs on GCD of 844, 276, 196, 200 Calculator

1. What is the GCD of 844, 276, 196, 200?

GCD of given numbers 844, 276, 196, 200 is 4


2. How to calculate the greatest common divisor of 844, 276, 196, 200?

We can find the highest common divisor of 844, 276, 196, 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 844, 276, 196, 200 i.e 4.


3. How can I use the GCD of 844, 276, 196, 200Calculator?

Out the numbers 844, 276, 196, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.