GCD of 59, 21, 88, 53 Calculator

Given Input numbers are 59, 21, 88, 53

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 21

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

1, 3, 7, 21

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 53

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

1, 53

Greatest Common Divisior

We found the divisors of 59, 21, 88, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 21, 88, 53 is 1.

Therefore, GCD of numbers 59, 21, 88, 53 is 1

Given Input Data is 59, 21, 88, 53

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

Prime Factorization of 59 is 59

Prime Factorization of 21 is 3 x 7

Prime Factorization of 88 is 2 x 2 x 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(59, 21) = 1239

GCD(59, 21) = ( 59 x 21 ) / 1239

GCD(59, 21) = 1239 / 1239

GCD(59, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

GCD of 59, 21, 88, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 49, 57, 47
• GCD of 41, 23, 48, 42
• GCD of 26, 20, 62, 35
• GCD of 72, 37, 95, 23
• GCD of 74, 22, 27, 15

1. What is the GCD of 59, 21, 88, 53?

GCD of 59, 21, 88, 53 is 1

2. Where do I get the detailed procedure to find GCD of 59, 21, 88, 53?

You can find a detailed procedure to find GCD of 59, 21, 88, 53 on our page.

3. How to find GCD of 59, 21, 88, 53 on a calculator?

You can find the GCD of 59, 21, 88, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.