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GCD of 918, 765, 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 918, 765, 102 quickly. Get the easiest ways to solve the greatest common divisor of 918, 765, 102 i.e 51 in different methods as follows.

GCD of

How to Find GCD of Numbers 918, 765, 102 with Factoring?

Given Input numbers are 918, 765, 102

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

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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 (918, 765, 102) = 51.

Find GCD of 918, 765, 102 using Prime Factorization

Given numbers are 918, 765, 102

The list of prime factors of all numbers are

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

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 171 x 31

Therefore, GCD of 918, 765, 102 is 51.

Steps to Calculate GCD of 918, 765, 102 using LCM Formula

Given numbers are 918, 765, 102

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

Apply this formula for all numbers.

Step1:

LCM(918, 765) = 4590

GCD(918, 765) = ( 918 x 765 ) / 4590

= 918 / 765

= 918


Step2:

LCM(153, 102) = 306

GCD(153, 102) = ( 153 x 102 ) / 306

= 153 / 102

= 153


So, Greatest Common Divisor of 918, 765, 102 is 51

GCD of Numbers Calculation Examples

Greatest Common Divisor of 918, 765, 102

Given numbers are 918, 765, 102
The greatest common divisor of numbers 918, 765, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 765, 102 is 51.

FAQs on GCD of 918, 765, 102 Calculator

1. What is the GCD of 918, 765, 102?

GCD of given numbers 918, 765, 102 is 51


2. How to calculate the greatest common divisor of 918, 765, 102?

We can find the highest common divisor of 918, 765, 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 918, 765, 102 i.e 51.


3. How can I use the GCD of 918, 765, 102Calculator?

Out the numbers 918, 765, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.