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 964, 660, 806, 760 i.e. 2 largest integer that divides all the numbers equally.
GCD of 964, 660, 806, 760 is 2
GCD(964, 660, 806, 760) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 660, 806, 760 is 2
GCD(964, 660, 806, 760) = 2
Given Input numbers are 964, 660, 806, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 964, 660, 806, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 660, 806, 760 is 2.
Therefore, GCD of numbers 964, 660, 806, 760 is 2
Given Input Data is 964, 660, 806, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(964, 660) = 159060
GCD(964, 660) = ( 964 x 660 ) / 159060
GCD(964, 660) = 636240 / 159060
GCD(964, 660) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 806) = 1612
GCD(4, 806) = ( 4 x 806 ) / 1612
GCD(4, 806) = 3224 / 1612
GCD(4, 806) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
GCD(2, 760) = 1520 / 760
GCD(2, 760) = 2
GCD of 964, 660, 806, 760 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 660, 806, 760?
GCD of 964, 660, 806, 760 is 2
2. Where do I get the detailed procedure to find GCD of 964, 660, 806, 760?
You can find a detailed procedure to find GCD of 964, 660, 806, 760 on our page.
3. How to find GCD of 964, 660, 806, 760 on a calculator?
You can find the GCD of 964, 660, 806, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.