GCD of 852, 718, 312 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 852, 718, 312 quickly. Get the easiest ways to solve the greatest common divisor of 852, 718, 312 i.e 2 in different methods as follows.
Given Input numbers are 852, 718, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
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
GCD of numbers is the greatest common divisor
So, the GCD (852, 718, 312) = 2.
Given numbers are 852, 718, 312
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 718 are 2 x 359
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 852, 718, 312 is 2.
Steps to Calculate GCD of 852, 718, 312 using LCM Formula
Given numbers are 852, 718, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 718) = 305868
GCD(852, 718) = ( 852 x 718 ) / 305868
= 852 / 718
= 852
Step2:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 852, 718, 312 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 852, 718, 312
Given numbers are 852, 718, 312
The greatest common divisor of numbers 852, 718, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 718, 312 is 2.
FAQs on GCD of 852, 718, 312 Calculator
1. What is the GCD of 852, 718, 312?
GCD of given numbers 852, 718, 312 is 2
2. How to calculate the greatest common divisor of 852, 718, 312?
We can find the highest common divisor of 852, 718, 312 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 852, 718, 312 i.e 2.
3. How can I use the GCD of 852, 718, 312Calculator?
Out the numbers 852, 718, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.