GCD of 61, 8, 14, 84 Calculator

Given Input numbers are 61, 8, 14, 84

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

Divisors of 61

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

1, 61

Divisors of 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Greatest Common Divisior

We found the divisors of 61, 8, 14, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 8, 14, 84 is 1.

Therefore, GCD of numbers 61, 8, 14, 84 is 1

Given Input Data is 61, 8, 14, 84

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

Prime Factorization of 61 is 61

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 14 is 2 x 7

Prime Factorization of 84 is 2 x 2 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(61, 8) = 488

GCD(61, 8) = ( 61 x 8 ) / 488

GCD(61, 8) = 488 / 488

GCD(61, 8) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 61, 8, 14, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 3, 67, 48
• GCD of 45, 8, 54, 75
• GCD of 53, 4, 13, 32
• GCD of 81, 4, 82, 29
• GCD of 32, 8, 98, 15

1. What is the GCD of 61, 8, 14, 84?

GCD of 61, 8, 14, 84 is 1

2. Where do I get the detailed procedure to find GCD of 61, 8, 14, 84?

You can find a detailed procedure to find GCD of 61, 8, 14, 84 on our page.

3. How to find GCD of 61, 8, 14, 84 on a calculator?

You can find the GCD of 61, 8, 14, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.