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GCD of 202, 307, 353, 355 Calculator

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


Online GCD Calculator is useful to find the GCD of 202, 307, 353, 355 quickly. Get the easiest ways to solve the greatest common divisor of 202, 307, 353, 355 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 202, 307, 353, 355 with Factoring?

Given Input numbers are 202, 307, 353, 355

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

Divisors of 202 :

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

1, 2, 101, 202

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355


GCD of numbers is the greatest common divisor

So, the GCD (202, 307, 353, 355) = 1.

Find GCD of 202, 307, 353, 355 using Prime Factorization

Given numbers are 202, 307, 353, 355

The list of prime factors of all numbers are

Prime factors of 202 are 2 x 101

Prime factors of 307 are 307

Prime factors of 353 are 353

Prime factors of 355 are 5 x 71

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

Steps to Calculate GCD of 202, 307, 353, 355 using LCM Formula

Given numbers are 202, 307, 353, 355

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

Apply this formula for all numbers.

Step1:

LCM(202, 307) = 62014

GCD(202, 307) = ( 202 x 307 ) / 62014

= 202 / 307

= 202


Step2:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1


Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


So, Greatest Common Divisor of 202, 307, 353, 355 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 202, 307, 353, 355

Given numbers are 202, 307, 353, 355
The greatest common divisor of numbers 202, 307, 353, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 202, 307, 353, 355 is 1.

FAQs on GCD of 202, 307, 353, 355 Calculator

1. What is the GCD of 202, 307, 353, 355?

GCD of given numbers 202, 307, 353, 355 is 1


2. How to calculate the greatest common divisor of 202, 307, 353, 355?

We can find the highest common divisor of 202, 307, 353, 355 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 202, 307, 353, 355 i.e 1.


3. How can I use the GCD of 202, 307, 353, 355Calculator?

Out the numbers 202, 307, 353, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.