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GCD of 375, 522, 990, 777 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, 522, 990, 777 quickly. Get the easiest ways to solve the greatest common divisor of 375, 522, 990, 777 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 375, 522, 990, 777 with Factoring?

Given Input numbers are 375, 522, 990, 777

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777


GCD of numbers is the greatest common divisor

So, the GCD (375, 522, 990, 777) = 3.

Find GCD of 375, 522, 990, 777 using Prime Factorization

Given numbers are 375, 522, 990, 777

The list of prime factors of all numbers are

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

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 777 are 3 x 7 x 37

The highest common occurrence is 31

Therefore, GCD of 375, 522, 990, 777 is 3.

Steps to Calculate GCD of 375, 522, 990, 777 using LCM Formula

Given numbers are 375, 522, 990, 777

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

Apply this formula for all numbers.

Step1:

LCM(375, 522) = 65250

GCD(375, 522) = ( 375 x 522 ) / 65250

= 375 / 522

= 375


Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3


Step3:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3


So, Greatest Common Divisor of 375, 522, 990, 777 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 375, 522, 990, 777

Given numbers are 375, 522, 990, 777
The greatest common divisor of numbers 375, 522, 990, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 522, 990, 777 is 3.

FAQs on GCD of 375, 522, 990, 777 Calculator

1. What is the GCD of 375, 522, 990, 777?

GCD of given numbers 375, 522, 990, 777 is 3


2. How to calculate the greatest common divisor of 375, 522, 990, 777?

We can find the highest common divisor of 375, 522, 990, 777 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, 522, 990, 777 i.e 3.


3. How can I use the GCD of 375, 522, 990, 777Calculator?

Out the numbers 375, 522, 990, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.