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 365, 687, 96, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 687, 96, 962 is 1
GCD(365, 687, 96, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 687, 96, 962 is 1
GCD(365, 687, 96, 962) = 1
Given Input numbers are 365, 687, 96, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 365, 687, 96, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 687, 96, 962 is 1.
Therefore, GCD of numbers 365, 687, 96, 962 is 1
Given Input Data is 365, 687, 96, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 687 is 3 x 229
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 962 is 2 x 13 x 37
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(365, 687) = 250755
GCD(365, 687) = ( 365 x 687 ) / 250755
GCD(365, 687) = 250755 / 250755
GCD(365, 687) = 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 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 365, 687, 96, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 687, 96, 962?
GCD of 365, 687, 96, 962 is 1
2. Where do I get the detailed procedure to find GCD of 365, 687, 96, 962?
You can find a detailed procedure to find GCD of 365, 687, 96, 962 on our page.
3. How to find GCD of 365, 687, 96, 962 on a calculator?
You can find the GCD of 365, 687, 96, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.