GCD of 965, 860, 320 Calculator

Given Input numbers are 965, 860, 320

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 965, 860, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 860, 320 is 5.

Therefore, GCD of numbers 965, 860, 320 is 5

Given Input Data is 965, 860, 320

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 965 is 5 x 193

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(965, 860) = 165980

GCD(965, 860) = ( 965 x 860 ) / 165980

GCD(965, 860) = 829900 / 165980

GCD(965, 860) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 320

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 320) = 320

GCD(5, 320) = ( 5 x 320 ) / 320

GCD(5, 320) = 1600 / 320

GCD(5, 320) = 5

GCD of 965, 860, 320 is 5

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1. What is the GCD of 965, 860, 320?

GCD of 965, 860, 320 is 5

2. Where do I get the detailed procedure to find GCD of 965, 860, 320?

You can find a detailed procedure to find GCD of 965, 860, 320 on our page.

3. How to find GCD of 965, 860, 320 on a calculator?

You can find the GCD of 965, 860, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.