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 numbers 737, 109, 891, 101 is 1
GCD(737, 109, 891, 101) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.