GCD of 286, 596, 32, 762 Calculator

Given Input numbers are 286, 596, 32, 762

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 286, 596, 32, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 596, 32, 762 is 2.

Therefore, GCD of numbers 286, 596, 32, 762 is 2

Given Input Data is 286, 596, 32, 762

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 762 is 2 x 3 x 127

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(286, 596) = 85228

GCD(286, 596) = ( 286 x 596 ) / 85228

GCD(286, 596) = 170456 / 85228

GCD(286, 596) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 286, 596, 32, 762 is 2

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1. What is the GCD of 286, 596, 32, 762?

GCD of 286, 596, 32, 762 is 2

2. Where do I get the detailed procedure to find GCD of 286, 596, 32, 762?

You can find a detailed procedure to find GCD of 286, 596, 32, 762 on our page.

3. How to find GCD of 286, 596, 32, 762 on a calculator?

You can find the GCD of 286, 596, 32, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.