GCD of 88, 84, 22, 53 Calculator

Given Input numbers are 88, 84, 22, 53

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

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 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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 88, 84, 22, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 84, 22, 53 is 1.

Therefore, GCD of numbers 88, 84, 22, 53 is 1

Given Input Data is 88, 84, 22, 53

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

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

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 53 is 53

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(88, 84) = 1848

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

GCD(88, 84) = 7392 / 1848

GCD(88, 84) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

GCD of 88, 84, 22, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 50, 14, 30
• GCD of 92, 14, 97, 46
• GCD of 25, 35, 77, 48
• GCD of 59, 28, 53, 52
• GCD of 73, 85, 13, 17

1. What is the GCD of 88, 84, 22, 53?

GCD of 88, 84, 22, 53 is 1

2. Where do I get the detailed procedure to find GCD of 88, 84, 22, 53?

You can find a detailed procedure to find GCD of 88, 84, 22, 53 on our page.

3. How to find GCD of 88, 84, 22, 53 on a calculator?

You can find the GCD of 88, 84, 22, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.