GCD of 88, 38, 65, 45 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 88, 38, 65, 45 i.e. 1 largest integer that divides all the numbers equally.

GCD of 88, 38, 65, 45 is 1

GCD(88, 38, 65, 45) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 88, 38, 65, 45 is 1

GCD(88, 38, 65, 45) = 1

GCD of 88,38,65,45 Calculator

GCDof 88,38,65,45 is 1

Given Input numbers are 88, 38, 65, 45

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Greatest Common Divisior

We found the divisors of 88, 38, 65, 45 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 38, 65, 45 is 1.

Therefore, GCD of numbers 88, 38, 65, 45 is 1

Finding GCD of 88, 38, 65, 45 using Prime Factorization

Given Input Data is 88, 38, 65, 45

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 38 is 2 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 45 is 3 x 3 x 5

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

Finding GCD of 88, 38, 65, 45 using LCM Formula

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, 38) = 1672

GCD(88, 38) = ( 88 x 38 ) / 1672

GCD(88, 38) = 3344 / 1672

GCD(88, 38) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

GCD of 88, 38, 65, 45 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 88, 38, 65, 45

1. What is the GCD of 88, 38, 65, 45?

GCD of 88, 38, 65, 45 is 1


2. Where do I get the detailed procedure to find GCD of 88, 38, 65, 45?

You can find a detailed procedure to find GCD of 88, 38, 65, 45 on our page.


3. How to find GCD of 88, 38, 65, 45 on a calculator?

You can find the GCD of 88, 38, 65, 45 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.