GCD of 286, 766, 64, 340 Calculator

Given Input numbers are 286, 766, 64, 340

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 286, 766, 64, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 766, 64, 340 is 2.

Therefore, GCD of numbers 286, 766, 64, 340 is 2

Given Input Data is 286, 766, 64, 340

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 766 is 2 x 383

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 340 is 2 x 2 x 5 x 17

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, 766) = 109538

GCD(286, 766) = ( 286 x 766 ) / 109538

GCD(286, 766) = 219076 / 109538

GCD(286, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 286, 766, 64, 340 is 2

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1. What is the GCD of 286, 766, 64, 340?

GCD of 286, 766, 64, 340 is 2

2. Where do I get the detailed procedure to find GCD of 286, 766, 64, 340?

You can find a detailed procedure to find GCD of 286, 766, 64, 340 on our page.

3. How to find GCD of 286, 766, 64, 340 on a calculator?

You can find the GCD of 286, 766, 64, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.