GCD of 868, 312, 350 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 868, 312, 350 quickly. Get the easiest ways to solve the greatest common divisor of 868, 312, 350 i.e 2 in different methods as follows.
Given Input numbers are 868, 312, 350
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (868, 312, 350) = 2.
Given numbers are 868, 312, 350
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 868, 312, 350 is 2.
Steps to Calculate GCD of 868, 312, 350 using LCM Formula
Given numbers are 868, 312, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 312) = 67704
GCD(868, 312) = ( 868 x 312 ) / 67704
= 868 / 312
= 868
Step2:
LCM(4, 350) = 700
GCD(4, 350) = ( 4 x 350 ) / 700
= 4 / 350
= 4
So, Greatest Common Divisor of 868, 312, 350 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 868, 312, 350
Given numbers are 868, 312, 350
The greatest common divisor of numbers 868, 312, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 312, 350 is 2.
FAQs on GCD of 868, 312, 350 Calculator
1. What is the GCD of 868, 312, 350?
GCD of given numbers 868, 312, 350 is 2
2. How to calculate the greatest common divisor of 868, 312, 350?
We can find the highest common divisor of 868, 312, 350 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 868, 312, 350 i.e 2.
3. How can I use the GCD of 868, 312, 350Calculator?
Out the numbers 868, 312, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.