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GCD of 105, 813, 142, 353 Calculator

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


Online GCD Calculator is useful to find the GCD of 105, 813, 142, 353 quickly. Get the easiest ways to solve the greatest common divisor of 105, 813, 142, 353 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 105, 813, 142, 353 with Factoring?

Given Input numbers are 105, 813, 142, 353

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 813 :

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

1, 3, 271, 813

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 353 :

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

1, 353


GCD of numbers is the greatest common divisor

So, the GCD (105, 813, 142, 353) = 1.

Find GCD of 105, 813, 142, 353 using Prime Factorization

Given numbers are 105, 813, 142, 353

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 813 are 3 x 271

Prime factors of 142 are 2 x 71

Prime factors of 353 are 353

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

Steps to Calculate GCD of 105, 813, 142, 353 using LCM Formula

Given numbers are 105, 813, 142, 353

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

Apply this formula for all numbers.

Step1:

LCM(105, 813) = 28455

GCD(105, 813) = ( 105 x 813 ) / 28455

= 105 / 813

= 105


Step2:

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

= 3 / 142

= 3


Step3:

LCM(1, 353) = 353

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

= 1 / 353

= 1


So, Greatest Common Divisor of 105, 813, 142, 353 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 105, 813, 142, 353

Given numbers are 105, 813, 142, 353
The greatest common divisor of numbers 105, 813, 142, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 813, 142, 353 is 1.

FAQs on GCD of 105, 813, 142, 353 Calculator

1. What is the GCD of 105, 813, 142, 353?

GCD of given numbers 105, 813, 142, 353 is 1


2. How to calculate the greatest common divisor of 105, 813, 142, 353?

We can find the highest common divisor of 105, 813, 142, 353 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 105, 813, 142, 353 i.e 1.


3. How can I use the GCD of 105, 813, 142, 353Calculator?

Out the numbers 105, 813, 142, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.