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 492, 736, 220 i.e. 4 largest integer that divides all the numbers equally.
GCD of 492, 736, 220 is 4
GCD(492, 736, 220) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 736, 220 is 4
GCD(492, 736, 220) = 4
Given Input numbers are 492, 736, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 492, 736, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 736, 220 is 4.
Therefore, GCD of numbers 492, 736, 220 is 4
Given Input Data is 492, 736, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(492, 736) = 90528
GCD(492, 736) = ( 492 x 736 ) / 90528
GCD(492, 736) = 362112 / 90528
GCD(492, 736) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 220) = 220
GCD(4, 220) = ( 4 x 220 ) / 220
GCD(4, 220) = 880 / 220
GCD(4, 220) = 4
GCD of 492, 736, 220 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 736, 220?
GCD of 492, 736, 220 is 4
2. Where do I get the detailed procedure to find GCD of 492, 736, 220?
You can find a detailed procedure to find GCD of 492, 736, 220 on our page.
3. How to find GCD of 492, 736, 220 on a calculator?
You can find the GCD of 492, 736, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.