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GCD of 353, 813, 149, 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 353, 813, 149, 300 quickly. Get the easiest ways to solve the greatest common divisor of 353, 813, 149, 300 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 353, 813, 149, 300 with Factoring?

Given Input numbers are 353, 813, 149, 300

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

Divisors of 353 :

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

1, 353

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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 (353, 813, 149, 300) = 1.

Find GCD of 353, 813, 149, 300 using Prime Factorization

Given numbers are 353, 813, 149, 300

The list of prime factors of all numbers are

Prime factors of 353 are 353

Prime factors of 813 are 3 x 271

Prime factors of 149 are 149

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 353, 813, 149, 300 using LCM Formula

Given numbers are 353, 813, 149, 300

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

Apply this formula for all numbers.

Step1:

LCM(353, 813) = 286989

GCD(353, 813) = ( 353 x 813 ) / 286989

= 353 / 813

= 353


Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1


Step3:

LCM(1, 300) = 300

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

= 1 / 300

= 1


So, Greatest Common Divisor of 353, 813, 149, 300 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 353, 813, 149, 300

Given numbers are 353, 813, 149, 300
The greatest common divisor of numbers 353, 813, 149, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 353, 813, 149, 300 is 1.

FAQs on GCD of 353, 813, 149, 300 Calculator

1. What is the GCD of 353, 813, 149, 300?

GCD of given numbers 353, 813, 149, 300 is 1


2. How to calculate the greatest common divisor of 353, 813, 149, 300?

We can find the highest common divisor of 353, 813, 149, 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 353, 813, 149, 300 i.e 1.


3. How can I use the GCD of 353, 813, 149, 300Calculator?

Out the numbers 353, 813, 149, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.