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, 696, 72, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 696, 72, 312 is 1
GCD(755, 696, 72, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 696, 72, 312 is 1
GCD(755, 696, 72, 312) = 1
Given Input numbers are 755, 696, 72, 312
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 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 755, 696, 72, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 696, 72, 312 is 1.
Therefore, GCD of numbers 755, 696, 72, 312 is 1
Given Input Data is 755, 696, 72, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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, 696) = 525480
GCD(755, 696) = ( 755 x 696 ) / 525480
GCD(755, 696) = 525480 / 525480
GCD(755, 696) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 755, 696, 72, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 696, 72, 312?
GCD of 755, 696, 72, 312 is 1
2. Where do I get the detailed procedure to find GCD of 755, 696, 72, 312?
You can find a detailed procedure to find GCD of 755, 696, 72, 312 on our page.
3. How to find GCD of 755, 696, 72, 312 on a calculator?
You can find the GCD of 755, 696, 72, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.