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 121, 371, 56, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 371, 56, 563 is 1
GCD(121, 371, 56, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 371, 56, 563 is 1
GCD(121, 371, 56, 563) = 1
Given Input numbers are 121, 371, 56, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 121, 371, 56, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 371, 56, 563 is 1.
Therefore, GCD of numbers 121, 371, 56, 563 is 1
Given Input Data is 121, 371, 56, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 371 is 7 x 53
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 563 is 563
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(121, 371) = 44891
GCD(121, 371) = ( 121 x 371 ) / 44891
GCD(121, 371) = 44891 / 44891
GCD(121, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 563) = 563
GCD(1, 563) = ( 1 x 563 ) / 563
GCD(1, 563) = 563 / 563
GCD(1, 563) = 1
GCD of 121, 371, 56, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 371, 56, 563?
GCD of 121, 371, 56, 563 is 1
2. Where do I get the detailed procedure to find GCD of 121, 371, 56, 563?
You can find a detailed procedure to find GCD of 121, 371, 56, 563 on our page.
3. How to find GCD of 121, 371, 56, 563 on a calculator?
You can find the GCD of 121, 371, 56, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.