GCD of 10, 80, 25, 70 Calculator

Given Input numbers are 10, 80, 25, 70

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

Divisors of 10

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

1, 2, 5, 10

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Greatest Common Divisior

We found the divisors of 10, 80, 25, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 80, 25, 70 is 5.

Therefore, GCD of numbers 10, 80, 25, 70 is 5

Given Input Data is 10, 80, 25, 70

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 25 is 5 x 5

Prime Factorization of 70 is 2 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(10, 80) = 80

GCD(10, 80) = ( 10 x 80 ) / 80

GCD(10, 80) = 800 / 80

GCD(10, 80) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 25

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

LCM(10, 25) = 50

GCD(10, 25) = ( 10 x 25 ) / 50

GCD(10, 25) = 250 / 50

GCD(10, 25) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 70

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

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

GCD(5, 70) = 350 / 70

GCD(5, 70) = 5

GCD of 10, 80, 25, 70 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 79, 53, 20
• GCD of 66, 60, 81, 87
• GCD of 82, 51, 71, 36
• GCD of 47, 28, 35, 41
• GCD of 70, 72, 32, 47

1. What is the GCD of 10, 80, 25, 70?

GCD of 10, 80, 25, 70 is 5

2. Where do I get the detailed procedure to find GCD of 10, 80, 25, 70?

You can find a detailed procedure to find GCD of 10, 80, 25, 70 on our page.

3. How to find GCD of 10, 80, 25, 70 on a calculator?

You can find the GCD of 10, 80, 25, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.