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GCD of 777, 717, 945, 333 Calculator

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


Online GCD Calculator is useful to find the GCD of 777, 717, 945, 333 quickly. Get the easiest ways to solve the greatest common divisor of 777, 717, 945, 333 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 777, 717, 945, 333 with Factoring?

Given Input numbers are 777, 717, 945, 333

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

Divisors of 777 :

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

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

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 333 :

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

1, 3, 9, 37, 111, 333


GCD of numbers is the greatest common divisor

So, the GCD (777, 717, 945, 333) = 3.

Find GCD of 777, 717, 945, 333 using Prime Factorization

Given numbers are 777, 717, 945, 333

The list of prime factors of all numbers are

Prime factors of 777 are 3 x 7 x 37

Prime factors of 717 are 3 x 239

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 333 are 3 x 3 x 37

The highest common occurrence is 31

Therefore, GCD of 777, 717, 945, 333 is 3.

Steps to Calculate GCD of 777, 717, 945, 333 using LCM Formula

Given numbers are 777, 717, 945, 333

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

Apply this formula for all numbers.

Step1:

LCM(777, 717) = 185703

GCD(777, 717) = ( 777 x 717 ) / 185703

= 777 / 717

= 777


Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3


Step3:

LCM(3, 333) = 333

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

= 3 / 333

= 3


So, Greatest Common Divisor of 777, 717, 945, 333 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 777, 717, 945, 333

Given numbers are 777, 717, 945, 333
The greatest common divisor of numbers 777, 717, 945, 333 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 717, 945, 333 is 3.

FAQs on GCD of 777, 717, 945, 333 Calculator

1. What is the GCD of 777, 717, 945, 333?

GCD of given numbers 777, 717, 945, 333 is 3


2. How to calculate the greatest common divisor of 777, 717, 945, 333?

We can find the highest common divisor of 777, 717, 945, 333 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 777, 717, 945, 333 i.e 3.


3. How can I use the GCD of 777, 717, 945, 333Calculator?

Out the numbers 777, 717, 945, 333 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.