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, 121, 661, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 121, 661, 116 is 1
GCD(47, 121, 661, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 121, 661, 116 is 1
GCD(47, 121, 661, 116) = 1
Given Input numbers are 47, 121, 661, 116
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 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 47, 121, 661, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 121, 661, 116 is 1.
Therefore, GCD of numbers 47, 121, 661, 116 is 1
Given Input Data is 47, 121, 661, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 121 is 11 x 11
Prime Factorization of 661 is 661
Prime Factorization of 116 is 2 x 2 x 29
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, 121) = 5687
GCD(47, 121) = ( 47 x 121 ) / 5687
GCD(47, 121) = 5687 / 5687
GCD(47, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 47, 121, 661, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 121, 661, 116?
GCD of 47, 121, 661, 116 is 1
2. Where do I get the detailed procedure to find GCD of 47, 121, 661, 116?
You can find a detailed procedure to find GCD of 47, 121, 661, 116 on our page.
3. How to find GCD of 47, 121, 661, 116 on a calculator?
You can find the GCD of 47, 121, 661, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.