GCD of 360, 290, 384, 926 Calculator

Given Input numbers are 360, 290, 384, 926

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 360, 290, 384, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 290, 384, 926 is 2.

Therefore, GCD of numbers 360, 290, 384, 926 is 2

Given Input Data is 360, 290, 384, 926

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 926 is 2 x 463

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(360, 290) = 10440

GCD(360, 290) = ( 360 x 290 ) / 10440

GCD(360, 290) = 104400 / 10440

GCD(360, 290) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 384

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

LCM(10, 384) = 1920

GCD(10, 384) = ( 10 x 384 ) / 1920

GCD(10, 384) = 3840 / 1920

GCD(10, 384) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

GCD of 360, 290, 384, 926 is 2

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1. What is the GCD of 360, 290, 384, 926?

GCD of 360, 290, 384, 926 is 2

2. Where do I get the detailed procedure to find GCD of 360, 290, 384, 926?

You can find a detailed procedure to find GCD of 360, 290, 384, 926 on our page.

3. How to find GCD of 360, 290, 384, 926 on a calculator?

You can find the GCD of 360, 290, 384, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.