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 312, 265, 76, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 312, 265, 76, 734 is 1
GCD(312, 265, 76, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 312, 265, 76, 734 is 1
GCD(312, 265, 76, 734) = 1
Given Input numbers are 312, 265, 76, 734
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 312, 265, 76, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 265, 76, 734 is 1.
Therefore, GCD of numbers 312, 265, 76, 734 is 1
Given Input Data is 312, 265, 76, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 265 is 5 x 53
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 734 is 2 x 367
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(312, 265) = 82680
GCD(312, 265) = ( 312 x 265 ) / 82680
GCD(312, 265) = 82680 / 82680
GCD(312, 265) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 312, 265, 76, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 312, 265, 76, 734?
GCD of 312, 265, 76, 734 is 1
2. Where do I get the detailed procedure to find GCD of 312, 265, 76, 734?
You can find a detailed procedure to find GCD of 312, 265, 76, 734 on our page.
3. How to find GCD of 312, 265, 76, 734 on a calculator?
You can find the GCD of 312, 265, 76, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.