GCD of 812, 472, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 812, 472, 60 quickly. Get the easiest ways to solve the greatest common divisor of 812, 472, 60 i.e 4 in different methods as follows.
Given Input numbers are 812, 472, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (812, 472, 60) = 4.
Given numbers are 812, 472, 60
The list of prime factors of all numbers are
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 812, 472, 60 is 4.
Steps to Calculate GCD of 812, 472, 60 using LCM Formula
Given numbers are 812, 472, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(812, 472) = 95816
GCD(812, 472) = ( 812 x 472 ) / 95816
= 812 / 472
= 812
Step2:
LCM(4, 60) = 60
GCD(4, 60) = ( 4 x 60 ) / 60
= 4 / 60
= 4
So, Greatest Common Divisor of 812, 472, 60 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 812, 472, 60
Given numbers are 812, 472, 60
The greatest common divisor of numbers 812, 472, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 472, 60 is 4.
FAQs on GCD of 812, 472, 60 Calculator
1. What is the GCD of 812, 472, 60?
GCD of given numbers 812, 472, 60 is 4
2. How to calculate the greatest common divisor of 812, 472, 60?
We can find the highest common divisor of 812, 472, 60 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 812, 472, 60 i.e 4.
3. How can I use the GCD of 812, 472, 60Calculator?
Out the numbers 812, 472, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.