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 628, 492, 736 i.e. 4 largest integer that divides all the numbers equally.
GCD of 628, 492, 736 is 4
GCD(628, 492, 736) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 492, 736 is 4
GCD(628, 492, 736) = 4
Given Input numbers are 628, 492, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
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
Greatest Common Divisior
We found the divisors of 628, 492, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 492, 736 is 4.
Therefore, GCD of numbers 628, 492, 736 is 4
Given Input Data is 628, 492, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
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
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(628, 492) = 77244
GCD(628, 492) = ( 628 x 492 ) / 77244
GCD(628, 492) = 308976 / 77244
GCD(628, 492) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 736) = 736
GCD(4, 736) = ( 4 x 736 ) / 736
GCD(4, 736) = 2944 / 736
GCD(4, 736) = 4
GCD of 628, 492, 736 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 492, 736?
GCD of 628, 492, 736 is 4
2. Where do I get the detailed procedure to find GCD of 628, 492, 736?
You can find a detailed procedure to find GCD of 628, 492, 736 on our page.
3. How to find GCD of 628, 492, 736 on a calculator?
You can find the GCD of 628, 492, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.