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GCD of 990, 381, 13, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 381, 13, 702 quickly. Get the easiest ways to solve the greatest common divisor of 990, 381, 13, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 381, 13, 702 with Factoring?

Given Input numbers are 990, 381, 13, 702

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (990, 381, 13, 702) = 1.

Find GCD of 990, 381, 13, 702 using Prime Factorization

Given numbers are 990, 381, 13, 702

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 381 are 3 x 127

Prime factors of 13 are 13

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 990, 381, 13, 702 using LCM Formula

Given numbers are 990, 381, 13, 702

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

Apply this formula for all numbers.

Step1:

LCM(990, 381) = 125730

GCD(990, 381) = ( 990 x 381 ) / 125730

= 990 / 381

= 990


Step2:

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

= 3 / 13

= 3


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 990, 381, 13, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 381, 13, 702

Given numbers are 990, 381, 13, 702
The greatest common divisor of numbers 990, 381, 13, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 381, 13, 702 is 1.

FAQs on GCD of 990, 381, 13, 702 Calculator

1. What is the GCD of 990, 381, 13, 702?

GCD of given numbers 990, 381, 13, 702 is 1


2. How to calculate the greatest common divisor of 990, 381, 13, 702?

We can find the highest common divisor of 990, 381, 13, 702 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 990, 381, 13, 702 i.e 1.


3. How can I use the GCD of 990, 381, 13, 702Calculator?

Out the numbers 990, 381, 13, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.