GCD of 60, 50, 20, 86 Calculator

Given Input numbers are 60, 50, 20, 86

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

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Greatest Common Divisior

We found the divisors of 60, 50, 20, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 50, 20, 86 is 2.

Therefore, GCD of numbers 60, 50, 20, 86 is 2

Given Input Data is 60, 50, 20, 86

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

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 86 is 2 x 43

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(60, 50) = 300

GCD(60, 50) = ( 60 x 50 ) / 300

GCD(60, 50) = 3000 / 300

GCD(60, 50) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 20

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

LCM(10, 20) = 20

GCD(10, 20) = ( 10 x 20 ) / 20

GCD(10, 20) = 200 / 20

GCD(10, 20) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 86

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

LCM(10, 86) = 430

GCD(10, 86) = ( 10 x 86 ) / 430

GCD(10, 86) = 860 / 430

GCD(10, 86) = 2

GCD of 60, 50, 20, 86 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 87, 62, 95
• GCD of 25, 94, 38, 21
• GCD of 87, 21, 48, 22
• GCD of 90, 28, 10, 55
• GCD of 51, 21, 24, 52

1. What is the GCD of 60, 50, 20, 86?

GCD of 60, 50, 20, 86 is 2

2. Where do I get the detailed procedure to find GCD of 60, 50, 20, 86?

You can find a detailed procedure to find GCD of 60, 50, 20, 86 on our page.

3. How to find GCD of 60, 50, 20, 86 on a calculator?

You can find the GCD of 60, 50, 20, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.