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GCD of 223, 645, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 223, 645, 138 quickly. Get the easiest ways to solve the greatest common divisor of 223, 645, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 223, 645, 138 with Factoring?

Given Input numbers are 223, 645, 138

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

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (223, 645, 138) = 1.

Find GCD of 223, 645, 138 using Prime Factorization

Given numbers are 223, 645, 138

The list of prime factors of all numbers are

Prime factors of 223 are 223

Prime factors of 645 are 3 x 5 x 43

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 223, 645, 138 using LCM Formula

Given numbers are 223, 645, 138

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

Apply this formula for all numbers.

Step1:

LCM(223, 645) = 143835

GCD(223, 645) = ( 223 x 645 ) / 143835

= 223 / 645

= 223


Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 223, 645, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 223, 645, 138

Given numbers are 223, 645, 138
The greatest common divisor of numbers 223, 645, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 223, 645, 138 is 1.

FAQs on GCD of 223, 645, 138 Calculator

1. What is the GCD of 223, 645, 138?

GCD of given numbers 223, 645, 138 is 1


2. How to calculate the greatest common divisor of 223, 645, 138?

We can find the highest common divisor of 223, 645, 138 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 223, 645, 138 i.e 1.


3. How can I use the GCD of 223, 645, 138Calculator?

Out the numbers 223, 645, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.