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, 860, 730, 928 i.e. 2 largest integer that divides all the numbers equally.
GCD of 964, 860, 730, 928 is 2
GCD(964, 860, 730, 928) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 860, 730, 928 is 2
GCD(964, 860, 730, 928) = 2
Given Input numbers are 964, 860, 730, 928
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 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 964, 860, 730, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 860, 730, 928 is 2.
Therefore, GCD of numbers 964, 860, 730, 928 is 2
Given Input Data is 964, 860, 730, 928
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 860 is 2 x 2 x 5 x 43
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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, 860) = 207260
GCD(964, 860) = ( 964 x 860 ) / 207260
GCD(964, 860) = 829040 / 207260
GCD(964, 860) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 730) = 1460
GCD(4, 730) = ( 4 x 730 ) / 1460
GCD(4, 730) = 2920 / 1460
GCD(4, 730) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
GCD(2, 928) = 1856 / 928
GCD(2, 928) = 2
GCD of 964, 860, 730, 928 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 860, 730, 928?
GCD of 964, 860, 730, 928 is 2
2. Where do I get the detailed procedure to find GCD of 964, 860, 730, 928?
You can find a detailed procedure to find GCD of 964, 860, 730, 928 on our page.
3. How to find GCD of 964, 860, 730, 928 on a calculator?
You can find the GCD of 964, 860, 730, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.