GCD of 80, 42, 61, 63 Calculator

Given Input numbers are 80, 42, 61, 63

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

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Greatest Common Divisior

We found the divisors of 80, 42, 61, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 42, 61, 63 is 1.

Therefore, GCD of numbers 80, 42, 61, 63 is 1

Given Input Data is 80, 42, 61, 63

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

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 61 is 61

Prime Factorization of 63 is 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(80, 42) = 1680

GCD(80, 42) = ( 80 x 42 ) / 1680

GCD(80, 42) = 3360 / 1680

GCD(80, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

GCD of 80, 42, 61, 63 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 65, 33, 21
• GCD of 25, 72, 95, 70
• GCD of 35, 36, 46, 50
• GCD of 44, 75, 26, 17
• GCD of 90, 76, 78, 41

1. What is the GCD of 80, 42, 61, 63?

GCD of 80, 42, 61, 63 is 1

2. Where do I get the detailed procedure to find GCD of 80, 42, 61, 63?

You can find a detailed procedure to find GCD of 80, 42, 61, 63 on our page.

3. How to find GCD of 80, 42, 61, 63 on a calculator?

You can find the GCD of 80, 42, 61, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.