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 940, 138, 45, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 138, 45, 255 is 1
GCD(940, 138, 45, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 138, 45, 255 is 1
GCD(940, 138, 45, 255) = 1
Given Input numbers are 940, 138, 45, 255
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
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 940, 138, 45, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 138, 45, 255 is 1.
Therefore, GCD of numbers 940, 138, 45, 255 is 1
Given Input Data is 940, 138, 45, 255
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 45 is 3 x 3 x 5
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(940, 138) = 64860
GCD(940, 138) = ( 940 x 138 ) / 64860
GCD(940, 138) = 129720 / 64860
GCD(940, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 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 940, 138, 45, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 138, 45, 255?
GCD of 940, 138, 45, 255 is 1
2. Where do I get the detailed procedure to find GCD of 940, 138, 45, 255?
You can find a detailed procedure to find GCD of 940, 138, 45, 255 on our page.
3. How to find GCD of 940, 138, 45, 255 on a calculator?
You can find the GCD of 940, 138, 45, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.