GCD of 716, 180, 46 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 716, 180, 46 i.e. 2 largest integer that divides all the numbers equally.
GCD of 716, 180, 46 is 2
GCD(716, 180, 46) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 180, 46 is 2
GCD(716, 180, 46) = 2
GCDof 716,180,46 is 2
Given Input numbers are 716, 180, 46
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Greatest Common Divisior
We found the divisors of 716, 180, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 180, 46 is 2.
Therefore, GCD of numbers 716, 180, 46 is 2
Given Input Data is 716, 180, 46
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 46 is 2 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 716, 180, 46 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(716, 180) = 32220
GCD(716, 180) = ( 716 x 180 ) / 32220
GCD(716, 180) = 128880 / 32220
GCD(716, 180) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 46) = 92
GCD(4, 46) = ( 4 x 46 ) / 92
GCD(4, 46) = 184 / 92
GCD(4, 46) = 2
GCD of 716, 180, 46 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 716, 180, 46
1. What is the GCD of 716, 180, 46?
GCD of 716, 180, 46 is 2
2. Where do I get the detailed procedure to find GCD of 716, 180, 46?
You can find a detailed procedure to find GCD of 716, 180, 46 on our page.
3. How to find GCD of 716, 180, 46 on a calculator?
You can find the GCD of 716, 180, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.