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GCD of 912, 690, 255, 882 Calculator

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


Online GCD Calculator is useful to find the GCD of 912, 690, 255, 882 quickly. Get the easiest ways to solve the greatest common divisor of 912, 690, 255, 882 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 912, 690, 255, 882 with Factoring?

Given Input numbers are 912, 690, 255, 882

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882


GCD of numbers is the greatest common divisor

So, the GCD (912, 690, 255, 882) = 3.

Find GCD of 912, 690, 255, 882 using Prime Factorization

Given numbers are 912, 690, 255, 882

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 255 are 3 x 5 x 17

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 31

Therefore, GCD of 912, 690, 255, 882 is 3.

Steps to Calculate GCD of 912, 690, 255, 882 using LCM Formula

Given numbers are 912, 690, 255, 882

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

Apply this formula for all numbers.

Step1:

LCM(912, 690) = 104880

GCD(912, 690) = ( 912 x 690 ) / 104880

= 912 / 690

= 912


Step2:

LCM(6, 255) = 510

GCD(6, 255) = ( 6 x 255 ) / 510

= 6 / 255

= 6


Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3


So, Greatest Common Divisor of 912, 690, 255, 882 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 912, 690, 255, 882

Given numbers are 912, 690, 255, 882
The greatest common divisor of numbers 912, 690, 255, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 690, 255, 882 is 3.

FAQs on GCD of 912, 690, 255, 882 Calculator

1. What is the GCD of 912, 690, 255, 882?

GCD of given numbers 912, 690, 255, 882 is 3


2. How to calculate the greatest common divisor of 912, 690, 255, 882?

We can find the highest common divisor of 912, 690, 255, 882 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 912, 690, 255, 882 i.e 3.


3. How can I use the GCD of 912, 690, 255, 882Calculator?

Out the numbers 912, 690, 255, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.