GCD of 360, 208, 90, 684 Calculator

Given Input numbers are 360, 208, 90, 684

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 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 360, 208, 90, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 208, 90, 684 is 2.

Therefore, GCD of numbers 360, 208, 90, 684 is 2

Given Input Data is 360, 208, 90, 684

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 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 208) = 9360

GCD(360, 208) = ( 360 x 208 ) / 9360

GCD(360, 208) = 74880 / 9360

GCD(360, 208) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 90

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

LCM(8, 90) = 360

GCD(8, 90) = ( 8 x 90 ) / 360

GCD(8, 90) = 720 / 360

GCD(8, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 360, 208, 90, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 154, 71, 293
• GCD of 971, 405, 39, 341
• GCD of 594, 443, 71, 122
• GCD of 340, 280, 51, 127
• GCD of 362, 524, 97, 713

1. What is the GCD of 360, 208, 90, 684?

GCD of 360, 208, 90, 684 is 2

2. Where do I get the detailed procedure to find GCD of 360, 208, 90, 684?

You can find a detailed procedure to find GCD of 360, 208, 90, 684 on our page.

3. How to find GCD of 360, 208, 90, 684 on a calculator?

You can find the GCD of 360, 208, 90, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.