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, 308, 83, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 308, 83, 753 is 1
GCD(755, 308, 83, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 308, 83, 753 is 1
GCD(755, 308, 83, 753) = 1
Given Input numbers are 755, 308, 83, 753
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 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 755, 308, 83, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 308, 83, 753 is 1.
Therefore, GCD of numbers 755, 308, 83, 753 is 1
Given Input Data is 755, 308, 83, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 83 is 83
Prime Factorization of 753 is 3 x 251
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, 308) = 232540
GCD(755, 308) = ( 755 x 308 ) / 232540
GCD(755, 308) = 232540 / 232540
GCD(755, 308) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 755, 308, 83, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 308, 83, 753?
GCD of 755, 308, 83, 753 is 1
2. Where do I get the detailed procedure to find GCD of 755, 308, 83, 753?
You can find a detailed procedure to find GCD of 755, 308, 83, 753 on our page.
3. How to find GCD of 755, 308, 83, 753 on a calculator?
You can find the GCD of 755, 308, 83, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.