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GCD of 550, 164, 846, 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 550, 164, 846, 200 quickly. Get the easiest ways to solve the greatest common divisor of 550, 164, 846, 200 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 550, 164, 846, 200 with Factoring?

Given Input numbers are 550, 164, 846, 200

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 (550, 164, 846, 200) = 2.

Find GCD of 550, 164, 846, 200 using Prime Factorization

Given numbers are 550, 164, 846, 200

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 164 are 2 x 2 x 41

Prime factors of 846 are 2 x 3 x 3 x 47

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

The highest common occurrence is 21

Therefore, GCD of 550, 164, 846, 200 is 2.

Steps to Calculate GCD of 550, 164, 846, 200 using LCM Formula

Given numbers are 550, 164, 846, 200

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

Apply this formula for all numbers.

Step1:

LCM(550, 164) = 45100

GCD(550, 164) = ( 550 x 164 ) / 45100

= 550 / 164

= 550


Step2:

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

= 2 / 846

= 2


Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2


So, Greatest Common Divisor of 550, 164, 846, 200 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 550, 164, 846, 200

Given numbers are 550, 164, 846, 200
The greatest common divisor of numbers 550, 164, 846, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 164, 846, 200 is 2.

FAQs on GCD of 550, 164, 846, 200 Calculator

1. What is the GCD of 550, 164, 846, 200?

GCD of given numbers 550, 164, 846, 200 is 2


2. How to calculate the greatest common divisor of 550, 164, 846, 200?

We can find the highest common divisor of 550, 164, 846, 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 550, 164, 846, 200 i.e 2.


3. How can I use the GCD of 550, 164, 846, 200Calculator?

Out the numbers 550, 164, 846, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.