GCD of 279, 780, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 279, 780, 342 quickly. Get the easiest ways to solve the greatest common divisor of 279, 780, 342 i.e 3 in different methods as follows.
Given Input numbers are 279, 780, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (279, 780, 342) = 3.
Given numbers are 279, 780, 342
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 279, 780, 342 is 3.
Steps to Calculate GCD of 279, 780, 342 using LCM Formula
Given numbers are 279, 780, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 780) = 72540
GCD(279, 780) = ( 279 x 780 ) / 72540
= 279 / 780
= 279
Step2:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
So, Greatest Common Divisor of 279, 780, 342 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 279, 780, 342
Given numbers are 279, 780, 342
The greatest common divisor of numbers 279, 780, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 780, 342 is 3.
FAQs on GCD of 279, 780, 342 Calculator
1. What is the GCD of 279, 780, 342?
GCD of given numbers 279, 780, 342 is 3
2. How to calculate the greatest common divisor of 279, 780, 342?
We can find the highest common divisor of 279, 780, 342 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 279, 780, 342 i.e 3.
3. How can I use the GCD of 279, 780, 342Calculator?
Out the numbers 279, 780, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.