GCD of 362, 208, 60 Calculator

Given Input numbers are 362, 208, 60

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Greatest Common Divisior

We found the divisors of 362, 208, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 208, 60 is 2.

Therefore, GCD of numbers 362, 208, 60 is 2

Given Input Data is 362, 208, 60

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(362, 208) = 37648

GCD(362, 208) = ( 362 x 208 ) / 37648

GCD(362, 208) = 75296 / 37648

GCD(362, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

GCD of 362, 208, 60 is 2

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1. What is the GCD of 362, 208, 60?

GCD of 362, 208, 60 is 2

2. Where do I get the detailed procedure to find GCD of 362, 208, 60?

You can find a detailed procedure to find GCD of 362, 208, 60 on our page.

3. How to find GCD of 362, 208, 60 on a calculator?

You can find the GCD of 362, 208, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.