GCD of 765, 126, 291 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 765, 126, 291 quickly. Get the easiest ways to solve the greatest common divisor of 765, 126, 291 i.e 3 in different methods as follows.
Given Input numbers are 765, 126, 291
In the factoring method, we have to find the divisors of all numbers
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 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
GCD of numbers is the greatest common divisor
So, the GCD (765, 126, 291) = 3.
Given numbers are 765, 126, 291
The list of prime factors of all numbers are
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 291 are 3 x 97
The highest common occurrence is 31
Therefore, GCD of 765, 126, 291 is 3.
Steps to Calculate GCD of 765, 126, 291 using LCM Formula
Given numbers are 765, 126, 291
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(765, 126) = 10710
GCD(765, 126) = ( 765 x 126 ) / 10710
= 765 / 126
= 765
Step2:
LCM(9, 291) = 873
GCD(9, 291) = ( 9 x 291 ) / 873
= 9 / 291
= 9
So, Greatest Common Divisor of 765, 126, 291 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 765, 126, 291
Given numbers are 765, 126, 291
The greatest common divisor of numbers 765, 126, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 126, 291 is 3.
FAQs on GCD of 765, 126, 291 Calculator
1. What is the GCD of 765, 126, 291?
GCD of given numbers 765, 126, 291 is 3
2. How to calculate the greatest common divisor of 765, 126, 291?
We can find the highest common divisor of 765, 126, 291 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 765, 126, 291 i.e 3.
3. How can I use the GCD of 765, 126, 291Calculator?
Out the numbers 765, 126, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.