GCD of 84, 88, 87, 21 Calculator

Given Input numbers are 84, 88, 87, 21

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

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 84, 88, 87, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 88, 87, 21 is 1.

Therefore, GCD of numbers 84, 88, 87, 21 is 1

Given Input Data is 84, 88, 87, 21

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 21 is 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(84, 88) = 1848

GCD(84, 88) = ( 84 x 88 ) / 1848

GCD(84, 88) = 7392 / 1848

GCD(84, 88) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 84, 88, 87, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 54, 49, 35
• GCD of 40, 62, 90, 13
• GCD of 97, 64, 93, 26
• GCD of 55, 56, 99, 58
• GCD of 36, 41, 43, 74

1. What is the GCD of 84, 88, 87, 21?

GCD of 84, 88, 87, 21 is 1

2. Where do I get the detailed procedure to find GCD of 84, 88, 87, 21?

You can find a detailed procedure to find GCD of 84, 88, 87, 21 on our page.

3. How to find GCD of 84, 88, 87, 21 on a calculator?

You can find the GCD of 84, 88, 87, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.