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 47, 701, 109, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 701, 109, 891 is 1
GCD(47, 701, 109, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 701, 109, 891 is 1
GCD(47, 701, 109, 891) = 1
Given Input numbers are 47, 701, 109, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
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
Greatest Common Divisior
We found the divisors of 47, 701, 109, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 701, 109, 891 is 1.
Therefore, GCD of numbers 47, 701, 109, 891 is 1
Given Input Data is 47, 701, 109, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 701 is 701
Prime Factorization of 109 is 109
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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(47, 701) = 32947
GCD(47, 701) = ( 47 x 701 ) / 32947
GCD(47, 701) = 32947 / 32947
GCD(47, 701) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
Step3:
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
GCD of 47, 701, 109, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 701, 109, 891?
GCD of 47, 701, 109, 891 is 1
2. Where do I get the detailed procedure to find GCD of 47, 701, 109, 891?
You can find a detailed procedure to find GCD of 47, 701, 109, 891 on our page.
3. How to find GCD of 47, 701, 109, 891 on a calculator?
You can find the GCD of 47, 701, 109, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.