GCD of 765, 915, 738 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 765, 915, 738 i.e. 3 largest integer that divides all the numbers equally.
GCD of 765, 915, 738 is 3
GCD(765, 915, 738) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 915, 738 is 3
GCD(765, 915, 738) = 3
GCDof 765,915,738 is 3
Given Input numbers are 765, 915, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 765, 915, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 915, 738 is 3.
Therefore, GCD of numbers 765, 915, 738 is 3
Given Input Data is 765, 915, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 915 is 3 x 5 x 61
Prime Factorization of 738 is 2 x 3 x 3 x 41
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 765, 915, 738 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(765, 915) = 46665
GCD(765, 915) = ( 765 x 915 ) / 46665
GCD(765, 915) = 699975 / 46665
GCD(765, 915) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 738) = 3690
GCD(15, 738) = ( 15 x 738 ) / 3690
GCD(15, 738) = 11070 / 3690
GCD(15, 738) = 3
GCD of 765, 915, 738 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 765, 915, 738
1. What is the GCD of 765, 915, 738?
GCD of 765, 915, 738 is 3
2. Where do I get the detailed procedure to find GCD of 765, 915, 738?
You can find a detailed procedure to find GCD of 765, 915, 738 on our page.
3. How to find GCD of 765, 915, 738 on a calculator?
You can find the GCD of 765, 915, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.