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, 732, 43, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 732, 43, 255 is 1
GCD(628, 732, 43, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 732, 43, 255 is 1
GCD(628, 732, 43, 255) = 1
Given Input numbers are 628, 732, 43, 255
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 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Greatest Common Divisior
We found the divisors of 628, 732, 43, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 732, 43, 255 is 1.
Therefore, GCD of numbers 628, 732, 43, 255 is 1
Given Input Data is 628, 732, 43, 255
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 732 is 2 x 2 x 3 x 61
Prime Factorization of 43 is 43
Prime Factorization of 255 is 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
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, 732) = 114924
GCD(628, 732) = ( 628 x 732 ) / 114924
GCD(628, 732) = 459696 / 114924
GCD(628, 732) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 43) = 172
GCD(4, 43) = ( 4 x 43 ) / 172
GCD(4, 43) = 172 / 172
GCD(4, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
GCD of 628, 732, 43, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 732, 43, 255?
GCD of 628, 732, 43, 255 is 1
2. Where do I get the detailed procedure to find GCD of 628, 732, 43, 255?
You can find a detailed procedure to find GCD of 628, 732, 43, 255 on our page.
3. How to find GCD of 628, 732, 43, 255 on a calculator?
You can find the GCD of 628, 732, 43, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.