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 238, 755, 80, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 755, 80, 106 is 1
GCD(238, 755, 80, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 755, 80, 106 is 1
GCD(238, 755, 80, 106) = 1
Given Input numbers are 238, 755, 80, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 238, 755, 80, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 755, 80, 106 is 1.
Therefore, GCD of numbers 238, 755, 80, 106 is 1
Given Input Data is 238, 755, 80, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 755 is 5 x 151
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 106 is 2 x 53
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(238, 755) = 179690
GCD(238, 755) = ( 238 x 755 ) / 179690
GCD(238, 755) = 179690 / 179690
GCD(238, 755) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 238, 755, 80, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 755, 80, 106?
GCD of 238, 755, 80, 106 is 1
2. Where do I get the detailed procedure to find GCD of 238, 755, 80, 106?
You can find a detailed procedure to find GCD of 238, 755, 80, 106 on our page.
3. How to find GCD of 238, 755, 80, 106 on a calculator?
You can find the GCD of 238, 755, 80, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.