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 755, 114, 721, 155 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 114, 721, 155 is 1
GCD(755, 114, 721, 155) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 114, 721, 155 is 1
GCD(755, 114, 721, 155) = 1
Given Input numbers are 755, 114, 721, 155
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Greatest Common Divisior
We found the divisors of 755, 114, 721, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 114, 721, 155 is 1.
Therefore, GCD of numbers 755, 114, 721, 155 is 1
Given Input Data is 755, 114, 721, 155
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 721 is 7 x 103
Prime Factorization of 155 is 5 x 31
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(755, 114) = 86070
GCD(755, 114) = ( 755 x 114 ) / 86070
GCD(755, 114) = 86070 / 86070
GCD(755, 114) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
GCD of 755, 114, 721, 155 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 114, 721, 155?
GCD of 755, 114, 721, 155 is 1
2. Where do I get the detailed procedure to find GCD of 755, 114, 721, 155?
You can find a detailed procedure to find GCD of 755, 114, 721, 155 on our page.
3. How to find GCD of 755, 114, 721, 155 on a calculator?
You can find the GCD of 755, 114, 721, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.