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GCD of 332, 720, 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 332, 720, 200 quickly. Get the easiest ways to solve the greatest common divisor of 332, 720, 200 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 332, 720, 200 with Factoring?

Given Input numbers are 332, 720, 200

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

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 (332, 720, 200) = 4.

Find GCD of 332, 720, 200 using Prime Factorization

Given numbers are 332, 720, 200

The list of prime factors of all numbers are

Prime factors of 332 are 2 x 2 x 83

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 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 332, 720, 200 is 4.

Steps to Calculate GCD of 332, 720, 200 using LCM Formula

Given numbers are 332, 720, 200

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

Apply this formula for all numbers.

Step1:

LCM(332, 720) = 59760

GCD(332, 720) = ( 332 x 720 ) / 59760

= 332 / 720

= 332


Step2:

LCM(4, 200) = 200

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

= 4 / 200

= 4


So, Greatest Common Divisor of 332, 720, 200 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 332, 720, 200

Given numbers are 332, 720, 200
The greatest common divisor of numbers 332, 720, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 332, 720, 200 is 4.

FAQs on GCD of 332, 720, 200 Calculator

1. What is the GCD of 332, 720, 200?

GCD of given numbers 332, 720, 200 is 4


2. How to calculate the greatest common divisor of 332, 720, 200?

We can find the highest common divisor of 332, 720, 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 332, 720, 200 i.e 4.


3. How can I use the GCD of 332, 720, 200Calculator?

Out the numbers 332, 720, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.