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GCD of 364, 484, 370, 348 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 484, 370, 348 quickly. Get the easiest ways to solve the greatest common divisor of 364, 484, 370, 348 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 484, 370, 348 with Factoring?

Given Input numbers are 364, 484, 370, 348

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348


GCD of numbers is the greatest common divisor

So, the GCD (364, 484, 370, 348) = 2.

Find GCD of 364, 484, 370, 348 using Prime Factorization

Given numbers are 364, 484, 370, 348

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 370 are 2 x 5 x 37

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 21

Therefore, GCD of 364, 484, 370, 348 is 2.

Steps to Calculate GCD of 364, 484, 370, 348 using LCM Formula

Given numbers are 364, 484, 370, 348

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

Apply this formula for all numbers.

Step1:

LCM(364, 484) = 44044

GCD(364, 484) = ( 364 x 484 ) / 44044

= 364 / 484

= 364


Step2:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4


Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2


So, Greatest Common Divisor of 364, 484, 370, 348 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 484, 370, 348

Given numbers are 364, 484, 370, 348
The greatest common divisor of numbers 364, 484, 370, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 484, 370, 348 is 2.

FAQs on GCD of 364, 484, 370, 348 Calculator

1. What is the GCD of 364, 484, 370, 348?

GCD of given numbers 364, 484, 370, 348 is 2


2. How to calculate the greatest common divisor of 364, 484, 370, 348?

We can find the highest common divisor of 364, 484, 370, 348 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 364, 484, 370, 348 i.e 2.


3. How can I use the GCD of 364, 484, 370, 348Calculator?

Out the numbers 364, 484, 370, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.