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 734, 527, 96, 665 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 527, 96, 665 is 1
GCD(734, 527, 96, 665) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 527, 96, 665 is 1
GCD(734, 527, 96, 665) = 1
Given Input numbers are 734, 527, 96, 665
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Greatest Common Divisior
We found the divisors of 734, 527, 96, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 527, 96, 665 is 1.
Therefore, GCD of numbers 734, 527, 96, 665 is 1
Given Input Data is 734, 527, 96, 665
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 527 is 17 x 31
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 665 is 5 x 7 x 19
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(734, 527) = 386818
GCD(734, 527) = ( 734 x 527 ) / 386818
GCD(734, 527) = 386818 / 386818
GCD(734, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
GCD of 734, 527, 96, 665 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 527, 96, 665?
GCD of 734, 527, 96, 665 is 1
2. Where do I get the detailed procedure to find GCD of 734, 527, 96, 665?
You can find a detailed procedure to find GCD of 734, 527, 96, 665 on our page.
3. How to find GCD of 734, 527, 96, 665 on a calculator?
You can find the GCD of 734, 527, 96, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.