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 96, 902, 964, 762 i.e. 2 largest integer that divides all the numbers equally.
GCD of 96, 902, 964, 762 is 2
GCD(96, 902, 964, 762) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 902, 964, 762 is 2
GCD(96, 902, 964, 762) = 2
Given Input numbers are 96, 902, 964, 762
To find the GCD of numbers using factoring list out all the divisors of each number
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 96, 902, 964, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 902, 964, 762 is 2.
Therefore, GCD of numbers 96, 902, 964, 762 is 2
Given Input Data is 96, 902, 964, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 762 is 2 x 3 x 127
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(96, 902) = 43296
GCD(96, 902) = ( 96 x 902 ) / 43296
GCD(96, 902) = 86592 / 43296
GCD(96, 902) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
GCD(2, 964) = 1928 / 964
GCD(2, 964) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
GCD(2, 762) = 1524 / 762
GCD(2, 762) = 2
GCD of 96, 902, 964, 762 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 902, 964, 762?
GCD of 96, 902, 964, 762 is 2
2. Where do I get the detailed procedure to find GCD of 96, 902, 964, 762?
You can find a detailed procedure to find GCD of 96, 902, 964, 762 on our page.
3. How to find GCD of 96, 902, 964, 762 on a calculator?
You can find the GCD of 96, 902, 964, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.