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GCD of 299, 920, 209, 202 Calculator

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


Online GCD Calculator is useful to find the GCD of 299, 920, 209, 202 quickly. Get the easiest ways to solve the greatest common divisor of 299, 920, 209, 202 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 299, 920, 209, 202 with Factoring?

Given Input numbers are 299, 920, 209, 202

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

Divisors of 299 :

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

1, 13, 23, 299

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202


GCD of numbers is the greatest common divisor

So, the GCD (299, 920, 209, 202) = 1.

Find GCD of 299, 920, 209, 202 using Prime Factorization

Given numbers are 299, 920, 209, 202

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 209 are 11 x 19

Prime factors of 202 are 2 x 101

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

Steps to Calculate GCD of 299, 920, 209, 202 using LCM Formula

Given numbers are 299, 920, 209, 202

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

Apply this formula for all numbers.

Step1:

LCM(299, 920) = 11960

GCD(299, 920) = ( 299 x 920 ) / 11960

= 299 / 920

= 299


Step2:

LCM(23, 209) = 4807

GCD(23, 209) = ( 23 x 209 ) / 4807

= 23 / 209

= 23


Step3:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1


So, Greatest Common Divisor of 299, 920, 209, 202 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 299, 920, 209, 202

Given numbers are 299, 920, 209, 202
The greatest common divisor of numbers 299, 920, 209, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 920, 209, 202 is 1.

FAQs on GCD of 299, 920, 209, 202 Calculator

1. What is the GCD of 299, 920, 209, 202?

GCD of given numbers 299, 920, 209, 202 is 1


2. How to calculate the greatest common divisor of 299, 920, 209, 202?

We can find the highest common divisor of 299, 920, 209, 202 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 299, 920, 209, 202 i.e 1.


3. How can I use the GCD of 299, 920, 209, 202Calculator?

Out the numbers 299, 920, 209, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.