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GCD of 382, 969, 910, 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 382, 969, 910, 349 quickly. Get the easiest ways to solve the greatest common divisor of 382, 969, 910, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 382, 969, 910, 349 with Factoring?

Given Input numbers are 382, 969, 910, 349

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 (382, 969, 910, 349) = 1.

Find GCD of 382, 969, 910, 349 using Prime Factorization

Given numbers are 382, 969, 910, 349

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 969 are 3 x 17 x 19

Prime factors of 910 are 2 x 5 x 7 x 13

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 382, 969, 910, 349 using LCM Formula

Given numbers are 382, 969, 910, 349

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

Apply this formula for all numbers.

Step1:

LCM(382, 969) = 370158

GCD(382, 969) = ( 382 x 969 ) / 370158

= 382 / 969

= 382


Step2:

LCM(1, 910) = 910

GCD(1, 910) = ( 1 x 910 ) / 910

= 1 / 910

= 1


Step3:

LCM(1, 349) = 349

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

= 1 / 349

= 1


So, Greatest Common Divisor of 382, 969, 910, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 382, 969, 910, 349

Given numbers are 382, 969, 910, 349
The greatest common divisor of numbers 382, 969, 910, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 969, 910, 349 is 1.

FAQs on GCD of 382, 969, 910, 349 Calculator

1. What is the GCD of 382, 969, 910, 349?

GCD of given numbers 382, 969, 910, 349 is 1


2. How to calculate the greatest common divisor of 382, 969, 910, 349?

We can find the highest common divisor of 382, 969, 910, 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 382, 969, 910, 349 i.e 1.


3. How can I use the GCD of 382, 969, 910, 349Calculator?

Out the numbers 382, 969, 910, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.