GCD of 964, 860, 730, 928 Calculator

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

GCD of numbers 964, 860, 730, 928 is 2

GCD(964, 860, 730, 928) = 2

GCD of 964,860,730,928 Calculator

GCDof 964,860,730,928 is 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

Finding GCD of 964, 860, 730, 928 using Prime Factorization

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

Finding GCD of 964, 860, 730, 928 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 964, 860, 730, 928

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.