GCD of 36, 70, 46, 80 Calculator

Given Input numbers are 36, 70, 46, 80

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 70

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

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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

Greatest Common Divisior

We found the divisors of 36, 70, 46, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 70, 46, 80 is 2.

Therefore, GCD of numbers 36, 70, 46, 80 is 2

Given Input Data is 36, 70, 46, 80

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 46 is 2 x 23

Prime Factorization of 80 is 2 x 2 x 2 x 2 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(36, 70) = 1260

GCD(36, 70) = ( 36 x 70 ) / 1260

GCD(36, 70) = 2520 / 1260

GCD(36, 70) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

GCD of 36, 70, 46, 80 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 35, 44, 50
• GCD of 37, 37, 66, 74
• GCD of 47, 47, 45, 95
• GCD of 32, 26, 14, 29
• GCD of 18, 24, 73, 69

1. What is the GCD of 36, 70, 46, 80?

GCD of 36, 70, 46, 80 is 2

2. Where do I get the detailed procedure to find GCD of 36, 70, 46, 80?

You can find a detailed procedure to find GCD of 36, 70, 46, 80 on our page.

3. How to find GCD of 36, 70, 46, 80 on a calculator?

You can find the GCD of 36, 70, 46, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.