GCD of 737, 109, 891, 101 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 737, 109, 891, 101 i.e. 1 largest integer that divides all the numbers equally.

GCD of 737, 109, 891, 101 is 1

GCD(737, 109, 891, 101) = 1

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

GCD of

GCD of numbers 737, 109, 891, 101 is 1

GCD(737, 109, 891, 101) = 1

GCD of 737,109,891,101 Calculator

GCDof 737,109,891,101 is 1

Given Input numbers are 737, 109, 891, 101

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

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 737, 109, 891, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 109, 891, 101 is 1.

Therefore, GCD of numbers 737, 109, 891, 101 is 1

Finding GCD of 737, 109, 891, 101 using Prime Factorization

Given Input Data is 737, 109, 891, 101

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

Prime Factorization of 737 is 11 x 67

Prime Factorization of 109 is 109

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 101 is 101

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

Finding GCD of 737, 109, 891, 101 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(737, 109) = 80333

GCD(737, 109) = ( 737 x 109 ) / 80333

GCD(737, 109) = 80333 / 80333

GCD(737, 109) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 737, 109, 891, 101 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 737, 109, 891, 101

1. What is the GCD of 737, 109, 891, 101?

GCD of 737, 109, 891, 101 is 1


2. Where do I get the detailed procedure to find GCD of 737, 109, 891, 101?

You can find a detailed procedure to find GCD of 737, 109, 891, 101 on our page.


3. How to find GCD of 737, 109, 891, 101 on a calculator?

You can find the GCD of 737, 109, 891, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.