GCD of 345, 987, 879 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 345, 987, 879 quickly. Get the easiest ways to solve the greatest common divisor of 345, 987, 879 i.e 3 in different methods as follows.
Given Input numbers are 345, 987, 879
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
GCD of numbers is the greatest common divisor
So, the GCD (345, 987, 879) = 3.
Given numbers are 345, 987, 879
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 987 are 3 x 7 x 47
Prime factors of 879 are 3 x 293
The highest common occurrence is 31
Therefore, GCD of 345, 987, 879 is 3.
Steps to Calculate GCD of 345, 987, 879 using LCM Formula
Given numbers are 345, 987, 879
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 987) = 113505
GCD(345, 987) = ( 345 x 987 ) / 113505
= 345 / 987
= 345
Step2:
LCM(3, 879) = 879
GCD(3, 879) = ( 3 x 879 ) / 879
= 3 / 879
= 3
So, Greatest Common Divisor of 345, 987, 879 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 345, 987, 879
Given numbers are 345, 987, 879
The greatest common divisor of numbers 345, 987, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 987, 879 is 3.
FAQs on GCD of 345, 987, 879 Calculator
1. What is the GCD of 345, 987, 879?
GCD of given numbers 345, 987, 879 is 3
2. How to calculate the greatest common divisor of 345, 987, 879?
We can find the highest common divisor of 345, 987, 879 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 345, 987, 879 i.e 3.
3. How can I use the GCD of 345, 987, 879Calculator?
Out the numbers 345, 987, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.