GCD of 701, 138, 97, 991 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 701, 138, 97, 991 i.e. 1 largest integer that divides all the numbers equally.

GCD of 701, 138, 97, 991 is 1

GCD(701, 138, 97, 991) = 1

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

GCD of

GCD of numbers 701, 138, 97, 991 is 1

GCD(701, 138, 97, 991) = 1

GCD of 701,138,97,991 Calculator

GCDof 701,138,97,991 is 1

Given Input numbers are 701, 138, 97, 991

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 701, 138, 97, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 138, 97, 991 is 1.

Therefore, GCD of numbers 701, 138, 97, 991 is 1

Finding GCD of 701, 138, 97, 991 using Prime Factorization

Given Input Data is 701, 138, 97, 991

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

Prime Factorization of 701 is 701

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 97 is 97

Prime Factorization of 991 is 991

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

Finding GCD of 701, 138, 97, 991 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(701, 138) = 96738

GCD(701, 138) = ( 701 x 138 ) / 96738

GCD(701, 138) = 96738 / 96738

GCD(701, 138) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 701, 138, 97, 991 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 701, 138, 97, 991

1. What is the GCD of 701, 138, 97, 991?

GCD of 701, 138, 97, 991 is 1


2. Where do I get the detailed procedure to find GCD of 701, 138, 97, 991?

You can find a detailed procedure to find GCD of 701, 138, 97, 991 on our page.


3. How to find GCD of 701, 138, 97, 991 on a calculator?

You can find the GCD of 701, 138, 97, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.