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GCD of 375, 381, 333, 102 Calculator

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


Online GCD Calculator is useful to find the GCD of 375, 381, 333, 102 quickly. Get the easiest ways to solve the greatest common divisor of 375, 381, 333, 102 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 375, 381, 333, 102 with Factoring?

Given Input numbers are 375, 381, 333, 102

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

Divisors of 375 :

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

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102


GCD of numbers is the greatest common divisor

So, the GCD (375, 381, 333, 102) = 3.

Find GCD of 375, 381, 333, 102 using Prime Factorization

Given numbers are 375, 381, 333, 102

The list of prime factors of all numbers are

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

Prime factors of 381 are 3 x 127

Prime factors of 333 are 3 x 3 x 37

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 31

Therefore, GCD of 375, 381, 333, 102 is 3.

Steps to Calculate GCD of 375, 381, 333, 102 using LCM Formula

Given numbers are 375, 381, 333, 102

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

Apply this formula for all numbers.

Step1:

LCM(375, 381) = 47625

GCD(375, 381) = ( 375 x 381 ) / 47625

= 375 / 381

= 375


Step2:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3


Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3


So, Greatest Common Divisor of 375, 381, 333, 102 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 375, 381, 333, 102

Given numbers are 375, 381, 333, 102
The greatest common divisor of numbers 375, 381, 333, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 381, 333, 102 is 3.

FAQs on GCD of 375, 381, 333, 102 Calculator

1. What is the GCD of 375, 381, 333, 102?

GCD of given numbers 375, 381, 333, 102 is 3


2. How to calculate the greatest common divisor of 375, 381, 333, 102?

We can find the highest common divisor of 375, 381, 333, 102 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 375, 381, 333, 102 i.e 3.


3. How can I use the GCD of 375, 381, 333, 102Calculator?

Out the numbers 375, 381, 333, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.