GCD of 960, 846, 36, 260 Calculator

Given Input numbers are 960, 846, 36, 260

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 960, 846, 36, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 846, 36, 260 is 2.

Therefore, GCD of numbers 960, 846, 36, 260 is 2

Given Input Data is 960, 846, 36, 260

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(960, 846) = 135360

GCD(960, 846) = ( 960 x 846 ) / 135360

GCD(960, 846) = 812160 / 135360

GCD(960, 846) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 260

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

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

GCD(6, 260) = 1560 / 780

GCD(6, 260) = 2

GCD of 960, 846, 36, 260 is 2

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1. What is the GCD of 960, 846, 36, 260?

GCD of 960, 846, 36, 260 is 2

2. Where do I get the detailed procedure to find GCD of 960, 846, 36, 260?

You can find a detailed procedure to find GCD of 960, 846, 36, 260 on our page.

3. How to find GCD of 960, 846, 36, 260 on a calculator?

You can find the GCD of 960, 846, 36, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.