GCD of 75, 563, 151, 988 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 75, 563, 151, 988 i.e. 1 largest integer that divides all the numbers equally.

GCD of 75, 563, 151, 988 is 1

GCD(75, 563, 151, 988) = 1

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

GCD of

GCD of numbers 75, 563, 151, 988 is 1

GCD(75, 563, 151, 988) = 1

GCD of 75,563,151,988 Calculator

GCDof 75,563,151,988 is 1

Given Input numbers are 75, 563, 151, 988

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 75, 563, 151, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 563, 151, 988 is 1.

Therefore, GCD of numbers 75, 563, 151, 988 is 1

Finding GCD of 75, 563, 151, 988 using Prime Factorization

Given Input Data is 75, 563, 151, 988

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 563 is 563

Prime Factorization of 151 is 151

Prime Factorization of 988 is 2 x 2 x 13 x 19

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

Finding GCD of 75, 563, 151, 988 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(75, 563) = 42225

GCD(75, 563) = ( 75 x 563 ) / 42225

GCD(75, 563) = 42225 / 42225

GCD(75, 563) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 151

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

LCM(1, 151) = 151

GCD(1, 151) = ( 1 x 151 ) / 151

GCD(1, 151) = 151 / 151

GCD(1, 151) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 75, 563, 151, 988 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 75, 563, 151, 988

1. What is the GCD of 75, 563, 151, 988?

GCD of 75, 563, 151, 988 is 1


2. Where do I get the detailed procedure to find GCD of 75, 563, 151, 988?

You can find a detailed procedure to find GCD of 75, 563, 151, 988 on our page.


3. How to find GCD of 75, 563, 151, 988 on a calculator?

You can find the GCD of 75, 563, 151, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.