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GCD of 308, 564, 304, 375 Calculator

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


Online GCD Calculator is useful to find the GCD of 308, 564, 304, 375 quickly. Get the easiest ways to solve the greatest common divisor of 308, 564, 304, 375 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 308, 564, 304, 375 with Factoring?

Given Input numbers are 308, 564, 304, 375

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375


GCD of numbers is the greatest common divisor

So, the GCD (308, 564, 304, 375) = 1.

Find GCD of 308, 564, 304, 375 using Prime Factorization

Given numbers are 308, 564, 304, 375

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 375 are 3 x 5 x 5 x 5

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

Steps to Calculate GCD of 308, 564, 304, 375 using LCM Formula

Given numbers are 308, 564, 304, 375

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

Apply this formula for all numbers.

Step1:

LCM(308, 564) = 43428

GCD(308, 564) = ( 308 x 564 ) / 43428

= 308 / 564

= 308


Step2:

LCM(4, 304) = 304

GCD(4, 304) = ( 4 x 304 ) / 304

= 4 / 304

= 4


Step3:

LCM(4, 375) = 1500

GCD(4, 375) = ( 4 x 375 ) / 1500

= 4 / 375

= 4


So, Greatest Common Divisor of 308, 564, 304, 375 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 308, 564, 304, 375

Given numbers are 308, 564, 304, 375
The greatest common divisor of numbers 308, 564, 304, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 564, 304, 375 is 1.

FAQs on GCD of 308, 564, 304, 375 Calculator

1. What is the GCD of 308, 564, 304, 375?

GCD of given numbers 308, 564, 304, 375 is 1


2. How to calculate the greatest common divisor of 308, 564, 304, 375?

We can find the highest common divisor of 308, 564, 304, 375 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 308, 564, 304, 375 i.e 1.


3. How can I use the GCD of 308, 564, 304, 375Calculator?

Out the numbers 308, 564, 304, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.