GCD of 20, 10, 90, 78 Calculator

Given Input numbers are 20, 10, 90, 78

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 20, 10, 90, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 10, 90, 78 is 2.

Therefore, GCD of numbers 20, 10, 90, 78 is 2

Given Input Data is 20, 10, 90, 78

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 78 is 2 x 3 x 13

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(20, 10) = 20

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

GCD(20, 10) = 200 / 20

GCD(20, 10) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 90

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

LCM(10, 90) = 90

GCD(10, 90) = ( 10 x 90 ) / 90

GCD(10, 90) = 900 / 90

GCD(10, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 78

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

LCM(10, 78) = 390

GCD(10, 78) = ( 10 x 78 ) / 390

GCD(10, 78) = 780 / 390

GCD(10, 78) = 2

GCD of 20, 10, 90, 78 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 35, 17, 98
• GCD of 93, 74, 77, 85
• GCD of 65, 18, 38, 28
• GCD of 67, 42, 67, 15
• GCD of 25, 49, 47, 42

1. What is the GCD of 20, 10, 90, 78?

GCD of 20, 10, 90, 78 is 2

2. Where do I get the detailed procedure to find GCD of 20, 10, 90, 78?

You can find a detailed procedure to find GCD of 20, 10, 90, 78 on our page.

3. How to find GCD of 20, 10, 90, 78 on a calculator?

You can find the GCD of 20, 10, 90, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.