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GCD of 655, 338, 299, 300 Calculator

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


Online GCD Calculator is useful to find the GCD of 655, 338, 299, 300 quickly. Get the easiest ways to solve the greatest common divisor of 655, 338, 299, 300 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 655, 338, 299, 300 with Factoring?

Given Input numbers are 655, 338, 299, 300

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300


GCD of numbers is the greatest common divisor

So, the GCD (655, 338, 299, 300) = 1.

Find GCD of 655, 338, 299, 300 using Prime Factorization

Given numbers are 655, 338, 299, 300

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 338 are 2 x 13 x 13

Prime factors of 299 are 13 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 655, 338, 299, 300 using LCM Formula

Given numbers are 655, 338, 299, 300

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

Apply this formula for all numbers.

Step1:

LCM(655, 338) = 221390

GCD(655, 338) = ( 655 x 338 ) / 221390

= 655 / 338

= 655


Step2:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1


Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1


So, Greatest Common Divisor of 655, 338, 299, 300 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 655, 338, 299, 300

Given numbers are 655, 338, 299, 300
The greatest common divisor of numbers 655, 338, 299, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 338, 299, 300 is 1.

FAQs on GCD of 655, 338, 299, 300 Calculator

1. What is the GCD of 655, 338, 299, 300?

GCD of given numbers 655, 338, 299, 300 is 1


2. How to calculate the greatest common divisor of 655, 338, 299, 300?

We can find the highest common divisor of 655, 338, 299, 300 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 655, 338, 299, 300 i.e 1.


3. How can I use the GCD of 655, 338, 299, 300Calculator?

Out the numbers 655, 338, 299, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.