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GCD of 318, 417, 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 318, 417, 200 quickly. Get the easiest ways to solve the greatest common divisor of 318, 417, 200 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 318, 417, 200 with Factoring?

Given Input numbers are 318, 417, 200

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

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 (318, 417, 200) = 1.

Find GCD of 318, 417, 200 using Prime Factorization

Given numbers are 318, 417, 200

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 417 are 3 x 139

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 318, 417, 200 using LCM Formula

Given numbers are 318, 417, 200

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

Apply this formula for all numbers.

Step1:

LCM(318, 417) = 44202

GCD(318, 417) = ( 318 x 417 ) / 44202

= 318 / 417

= 318


Step2:

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

= 3 / 200

= 3


So, Greatest Common Divisor of 318, 417, 200 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 318, 417, 200

Given numbers are 318, 417, 200
The greatest common divisor of numbers 318, 417, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 417, 200 is 1.

FAQs on GCD of 318, 417, 200 Calculator

1. What is the GCD of 318, 417, 200?

GCD of given numbers 318, 417, 200 is 1


2. How to calculate the greatest common divisor of 318, 417, 200?

We can find the highest common divisor of 318, 417, 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 318, 417, 200 i.e 1.


3. How can I use the GCD of 318, 417, 200Calculator?

Out the numbers 318, 417, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.