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 434, 537, 96, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 537, 96, 767 is 1
GCD(434, 537, 96, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 537, 96, 767 is 1
GCD(434, 537, 96, 767) = 1
Given Input numbers are 434, 537, 96, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
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 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 434, 537, 96, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 537, 96, 767 is 1.
Therefore, GCD of numbers 434, 537, 96, 767 is 1
Given Input Data is 434, 537, 96, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 537 is 3 x 179
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 767 is 13 x 59
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(434, 537) = 233058
GCD(434, 537) = ( 434 x 537 ) / 233058
GCD(434, 537) = 233058 / 233058
GCD(434, 537) = 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 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 434, 537, 96, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 537, 96, 767?
GCD of 434, 537, 96, 767 is 1
2. Where do I get the detailed procedure to find GCD of 434, 537, 96, 767?
You can find a detailed procedure to find GCD of 434, 537, 96, 767 on our page.
3. How to find GCD of 434, 537, 96, 767 on a calculator?
You can find the GCD of 434, 537, 96, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.