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 944, 980, 28, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 944, 980, 28, 255 is 1
GCD(944, 980, 28, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 944, 980, 28, 255 is 1
GCD(944, 980, 28, 255) = 1
Given Input numbers are 944, 980, 28, 255
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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 944, 980, 28, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 980, 28, 255 is 1.
Therefore, GCD of numbers 944, 980, 28, 255 is 1
Given Input Data is 944, 980, 28, 255
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 28 is 2 x 2 x 7
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(944, 980) = 231280
GCD(944, 980) = ( 944 x 980 ) / 231280
GCD(944, 980) = 925120 / 231280
GCD(944, 980) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 28) = 28
GCD(4, 28) = ( 4 x 28 ) / 28
GCD(4, 28) = 112 / 28
GCD(4, 28) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 255) = 1020
GCD(4, 255) = ( 4 x 255 ) / 1020
GCD(4, 255) = 1020 / 1020
GCD(4, 255) = 1
GCD of 944, 980, 28, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 944, 980, 28, 255?
GCD of 944, 980, 28, 255 is 1
2. Where do I get the detailed procedure to find GCD of 944, 980, 28, 255?
You can find a detailed procedure to find GCD of 944, 980, 28, 255 on our page.
3. How to find GCD of 944, 980, 28, 255 on a calculator?
You can find the GCD of 944, 980, 28, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.