GCD of 991, 551, 74, 989 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 991, 551, 74, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 991, 551, 74, 989 is 1

GCD(991, 551, 74, 989) = 1

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

GCD of

GCD of numbers 991, 551, 74, 989 is 1

GCD(991, 551, 74, 989) = 1

GCD of 991,551,74,989 Calculator

GCDof 991,551,74,989 is 1

Given Input numbers are 991, 551, 74, 989

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 991, 551, 74, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 551, 74, 989 is 1.

Therefore, GCD of numbers 991, 551, 74, 989 is 1

Finding GCD of 991, 551, 74, 989 using Prime Factorization

Given Input Data is 991, 551, 74, 989

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

Prime Factorization of 991 is 991

Prime Factorization of 551 is 19 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 989 is 23 x 43

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

Finding GCD of 991, 551, 74, 989 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(991, 551) = 546041

GCD(991, 551) = ( 991 x 551 ) / 546041

GCD(991, 551) = 546041 / 546041

GCD(991, 551) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 991, 551, 74, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 991, 551, 74, 989

1. What is the GCD of 991, 551, 74, 989?

GCD of 991, 551, 74, 989 is 1


2. Where do I get the detailed procedure to find GCD of 991, 551, 74, 989?

You can find a detailed procedure to find GCD of 991, 551, 74, 989 on our page.


3. How to find GCD of 991, 551, 74, 989 on a calculator?

You can find the GCD of 991, 551, 74, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.