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GCD of 351, 590, 42 Calculator

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


Online GCD Calculator is useful to find the GCD of 351, 590, 42 quickly. Get the easiest ways to solve the greatest common divisor of 351, 590, 42 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 351, 590, 42 with Factoring?

Given Input numbers are 351, 590, 42

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42


GCD of numbers is the greatest common divisor

So, the GCD (351, 590, 42) = 1.

Find GCD of 351, 590, 42 using Prime Factorization

Given numbers are 351, 590, 42

The list of prime factors of all numbers are

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 590 are 2 x 5 x 59

Prime factors of 42 are 2 x 3 x 7

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

Steps to Calculate GCD of 351, 590, 42 using LCM Formula

Given numbers are 351, 590, 42

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

Apply this formula for all numbers.

Step1:

LCM(351, 590) = 207090

GCD(351, 590) = ( 351 x 590 ) / 207090

= 351 / 590

= 351


Step2:

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

= 1 / 42

= 1


So, Greatest Common Divisor of 351, 590, 42 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 351, 590, 42

Given numbers are 351, 590, 42
The greatest common divisor of numbers 351, 590, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 590, 42 is 1.

FAQs on GCD of 351, 590, 42 Calculator

1. What is the GCD of 351, 590, 42?

GCD of given numbers 351, 590, 42 is 1


2. How to calculate the greatest common divisor of 351, 590, 42?

We can find the highest common divisor of 351, 590, 42 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 351, 590, 42 i.e 1.


3. How can I use the GCD of 351, 590, 42Calculator?

Out the numbers 351, 590, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.