GCD of 85, 80, 45, 35 Calculator

Given Input numbers are 85, 80, 45, 35

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 85, 80, 45, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 80, 45, 35 is 5.

Therefore, GCD of numbers 85, 80, 45, 35 is 5

Given Input Data is 85, 80, 45, 35

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

Prime Factorization of 85 is 5 x 17

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 35 is 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(85, 80) = 1360

GCD(85, 80) = ( 85 x 80 ) / 1360

GCD(85, 80) = 6800 / 1360

GCD(85, 80) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 45

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

LCM(5, 45) = 45

GCD(5, 45) = ( 5 x 45 ) / 45

GCD(5, 45) = 225 / 45

GCD(5, 45) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 35

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

LCM(5, 35) = 35

GCD(5, 35) = ( 5 x 35 ) / 35

GCD(5, 35) = 175 / 35

GCD(5, 35) = 5

GCD of 85, 80, 45, 35 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 46, 58, 12
• GCD of 28, 73, 51, 69
• GCD of 20, 10, 28, 81
• GCD of 12, 67, 51, 42
• GCD of 89, 21, 78, 58

1. What is the GCD of 85, 80, 45, 35?

GCD of 85, 80, 45, 35 is 5

2. Where do I get the detailed procedure to find GCD of 85, 80, 45, 35?

You can find a detailed procedure to find GCD of 85, 80, 45, 35 on our page.

3. How to find GCD of 85, 80, 45, 35 on a calculator?

You can find the GCD of 85, 80, 45, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.