GCD of 290, 544, 360, 662 Calculator

Given Input numbers are 290, 544, 360, 662

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

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 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 290, 544, 360, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 544, 360, 662 is 2.

Therefore, GCD of numbers 290, 544, 360, 662 is 2

Given Input Data is 290, 544, 360, 662

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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

Prime Factorization of 662 is 2 x 331

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(290, 544) = 78880

GCD(290, 544) = ( 290 x 544 ) / 78880

GCD(290, 544) = 157760 / 78880

GCD(290, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 290, 544, 360, 662 is 2

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1. What is the GCD of 290, 544, 360, 662?

GCD of 290, 544, 360, 662 is 2

2. Where do I get the detailed procedure to find GCD of 290, 544, 360, 662?

You can find a detailed procedure to find GCD of 290, 544, 360, 662 on our page.

3. How to find GCD of 290, 544, 360, 662 on a calculator?

You can find the GCD of 290, 544, 360, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.