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GCD of 379, 382, 149, 249 Calculator

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


Online GCD Calculator is useful to find the GCD of 379, 382, 149, 249 quickly. Get the easiest ways to solve the greatest common divisor of 379, 382, 149, 249 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 379, 382, 149, 249 with Factoring?

Given Input numbers are 379, 382, 149, 249

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

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 382 :

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

1, 2, 191, 382

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249


GCD of numbers is the greatest common divisor

So, the GCD (379, 382, 149, 249) = 1.

Find GCD of 379, 382, 149, 249 using Prime Factorization

Given numbers are 379, 382, 149, 249

The list of prime factors of all numbers are

Prime factors of 379 are 379

Prime factors of 382 are 2 x 191

Prime factors of 149 are 149

Prime factors of 249 are 3 x 83

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

Steps to Calculate GCD of 379, 382, 149, 249 using LCM Formula

Given numbers are 379, 382, 149, 249

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

Apply this formula for all numbers.

Step1:

LCM(379, 382) = 144778

GCD(379, 382) = ( 379 x 382 ) / 144778

= 379 / 382

= 379


Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1


Step3:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1


So, Greatest Common Divisor of 379, 382, 149, 249 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 379, 382, 149, 249

Given numbers are 379, 382, 149, 249
The greatest common divisor of numbers 379, 382, 149, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 379, 382, 149, 249 is 1.

FAQs on GCD of 379, 382, 149, 249 Calculator

1. What is the GCD of 379, 382, 149, 249?

GCD of given numbers 379, 382, 149, 249 is 1


2. How to calculate the greatest common divisor of 379, 382, 149, 249?

We can find the highest common divisor of 379, 382, 149, 249 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 379, 382, 149, 249 i.e 1.


3. How can I use the GCD of 379, 382, 149, 249Calculator?

Out the numbers 379, 382, 149, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.