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GCD of 990, 708, 671, 349 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, 708, 671, 349 quickly. Get the easiest ways to solve the greatest common divisor of 990, 708, 671, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 708, 671, 349 with Factoring?

Given Input numbers are 990, 708, 671, 349

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 671 :

The positive integer divisors of 671 that completely divides 671 are.

1, 11, 61, 671

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (990, 708, 671, 349) = 1.

Find GCD of 990, 708, 671, 349 using Prime Factorization

Given numbers are 990, 708, 671, 349

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 708 are 2 x 2 x 3 x 59

Prime factors of 671 are 11 x 61

Prime factors of 349 are 349

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

Steps to Calculate GCD of 990, 708, 671, 349 using LCM Formula

Given numbers are 990, 708, 671, 349

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

Apply this formula for all numbers.

Step1:

LCM(990, 708) = 116820

GCD(990, 708) = ( 990 x 708 ) / 116820

= 990 / 708

= 990


Step2:

LCM(6, 671) = 4026

GCD(6, 671) = ( 6 x 671 ) / 4026

= 6 / 671

= 6


Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


So, Greatest Common Divisor of 990, 708, 671, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 708, 671, 349

Given numbers are 990, 708, 671, 349
The greatest common divisor of numbers 990, 708, 671, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 708, 671, 349 is 1.

FAQs on GCD of 990, 708, 671, 349 Calculator

1. What is the GCD of 990, 708, 671, 349?

GCD of given numbers 990, 708, 671, 349 is 1


2. How to calculate the greatest common divisor of 990, 708, 671, 349?

We can find the highest common divisor of 990, 708, 671, 349 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, 708, 671, 349 i.e 1.


3. How can I use the GCD of 990, 708, 671, 349Calculator?

Out the numbers 990, 708, 671, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.