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GCD of 349, 931, 398, 661 Calculator

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


Online GCD Calculator is useful to find the GCD of 349, 931, 398, 661 quickly. Get the easiest ways to solve the greatest common divisor of 349, 931, 398, 661 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 349, 931, 398, 661 with Factoring?

Given Input numbers are 349, 931, 398, 661

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

Divisors of 349 :

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

1, 349

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661


GCD of numbers is the greatest common divisor

So, the GCD (349, 931, 398, 661) = 1.

Find GCD of 349, 931, 398, 661 using Prime Factorization

Given numbers are 349, 931, 398, 661

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 931 are 7 x 7 x 19

Prime factors of 398 are 2 x 199

Prime factors of 661 are 661

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

Steps to Calculate GCD of 349, 931, 398, 661 using LCM Formula

Given numbers are 349, 931, 398, 661

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

Apply this formula for all numbers.

Step1:

LCM(349, 931) = 324919

GCD(349, 931) = ( 349 x 931 ) / 324919

= 349 / 931

= 349


Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


Step3:

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

= 1 / 661

= 1


So, Greatest Common Divisor of 349, 931, 398, 661 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 349, 931, 398, 661

Given numbers are 349, 931, 398, 661
The greatest common divisor of numbers 349, 931, 398, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 931, 398, 661 is 1.

FAQs on GCD of 349, 931, 398, 661 Calculator

1. What is the GCD of 349, 931, 398, 661?

GCD of given numbers 349, 931, 398, 661 is 1


2. How to calculate the greatest common divisor of 349, 931, 398, 661?

We can find the highest common divisor of 349, 931, 398, 661 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 349, 931, 398, 661 i.e 1.


3. How can I use the GCD of 349, 931, 398, 661Calculator?

Out the numbers 349, 931, 398, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.