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GCD of 771, 918, 768, 432 Calculator

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


Online GCD Calculator is useful to find the GCD of 771, 918, 768, 432 quickly. Get the easiest ways to solve the greatest common divisor of 771, 918, 768, 432 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 771, 918, 768, 432 with Factoring?

Given Input numbers are 771, 918, 768, 432

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432


GCD of numbers is the greatest common divisor

So, the GCD (771, 918, 768, 432) = 3.

Find GCD of 771, 918, 768, 432 using Prime Factorization

Given numbers are 771, 918, 768, 432

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 771, 918, 768, 432 is 3.

Steps to Calculate GCD of 771, 918, 768, 432 using LCM Formula

Given numbers are 771, 918, 768, 432

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

Apply this formula for all numbers.

Step1:

LCM(771, 918) = 235926

GCD(771, 918) = ( 771 x 918 ) / 235926

= 771 / 918

= 771


Step2:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3


Step3:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3


So, Greatest Common Divisor of 771, 918, 768, 432 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 771, 918, 768, 432

Given numbers are 771, 918, 768, 432
The greatest common divisor of numbers 771, 918, 768, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 918, 768, 432 is 3.

FAQs on GCD of 771, 918, 768, 432 Calculator

1. What is the GCD of 771, 918, 768, 432?

GCD of given numbers 771, 918, 768, 432 is 3


2. How to calculate the greatest common divisor of 771, 918, 768, 432?

We can find the highest common divisor of 771, 918, 768, 432 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 771, 918, 768, 432 i.e 3.


3. How can I use the GCD of 771, 918, 768, 432Calculator?

Out the numbers 771, 918, 768, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.