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GCD of 918, 630, 213, 344 Calculator

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


Online GCD Calculator is useful to find the GCD of 918, 630, 213, 344 quickly. Get the easiest ways to solve the greatest common divisor of 918, 630, 213, 344 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 630, 213, 344 with Factoring?

Given Input numbers are 918, 630, 213, 344

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344


GCD of numbers is the greatest common divisor

So, the GCD (918, 630, 213, 344) = 1.

Find GCD of 918, 630, 213, 344 using Prime Factorization

Given numbers are 918, 630, 213, 344

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 213 are 3 x 71

Prime factors of 344 are 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 918, 630, 213, 344 using LCM Formula

Given numbers are 918, 630, 213, 344

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

Apply this formula for all numbers.

Step1:

LCM(918, 630) = 32130

GCD(918, 630) = ( 918 x 630 ) / 32130

= 918 / 630

= 918


Step2:

LCM(18, 213) = 1278

GCD(18, 213) = ( 18 x 213 ) / 1278

= 18 / 213

= 18


Step3:

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

= 3 / 344

= 3


So, Greatest Common Divisor of 918, 630, 213, 344 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 630, 213, 344

Given numbers are 918, 630, 213, 344
The greatest common divisor of numbers 918, 630, 213, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 630, 213, 344 is 1.

FAQs on GCD of 918, 630, 213, 344 Calculator

1. What is the GCD of 918, 630, 213, 344?

GCD of given numbers 918, 630, 213, 344 is 1


2. How to calculate the greatest common divisor of 918, 630, 213, 344?

We can find the highest common divisor of 918, 630, 213, 344 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 918, 630, 213, 344 i.e 1.


3. How can I use the GCD of 918, 630, 213, 344Calculator?

Out the numbers 918, 630, 213, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.