GCD of 600, 956, 260, 886 Calculator

Given Input numbers are 600, 956, 260, 886

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 600, 956, 260, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 956, 260, 886 is 2.

Therefore, GCD of numbers 600, 956, 260, 886 is 2

Given Input Data is 600, 956, 260, 886

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 956 is 2 x 2 x 239

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

Prime Factorization of 886 is 2 x 443

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(600, 956) = 143400

GCD(600, 956) = ( 600 x 956 ) / 143400

GCD(600, 956) = 573600 / 143400

GCD(600, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 260

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

LCM(4, 260) = 260

GCD(4, 260) = ( 4 x 260 ) / 260

GCD(4, 260) = 1040 / 260

GCD(4, 260) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

GCD of 600, 956, 260, 886 is 2

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1. What is the GCD of 600, 956, 260, 886?

GCD of 600, 956, 260, 886 is 2

2. Where do I get the detailed procedure to find GCD of 600, 956, 260, 886?

You can find a detailed procedure to find GCD of 600, 956, 260, 886 on our page.

3. How to find GCD of 600, 956, 260, 886 on a calculator?

You can find the GCD of 600, 956, 260, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.