GCD of 318, 268, 60 Calculator

Given Input numbers are 318, 268, 60

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 318, 268, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 268, 60 is 2.

Therefore, GCD of numbers 318, 268, 60 is 2

Given Input Data is 318, 268, 60

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 268 is 2 x 2 x 67

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(318, 268) = 42612

GCD(318, 268) = ( 318 x 268 ) / 42612

GCD(318, 268) = 85224 / 42612

GCD(318, 268) = 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 318, 268, 60 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 117, 66
• GCD of 151, 341, 12
• GCD of 200, 672, 59
• GCD of 254, 391, 99
• GCD of 108, 757, 98

1. What is the GCD of 318, 268, 60?

GCD of 318, 268, 60 is 2

2. Where do I get the detailed procedure to find GCD of 318, 268, 60?

You can find a detailed procedure to find GCD of 318, 268, 60 on our page.

3. How to find GCD of 318, 268, 60 on a calculator?

You can find the GCD of 318, 268, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.