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 187, 190, 49, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 187, 190, 49, 103 is 1
GCD(187, 190, 49, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 187, 190, 49, 103 is 1
GCD(187, 190, 49, 103) = 1
Given Input numbers are 187, 190, 49, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 187, 190, 49, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 190, 49, 103 is 1.
Therefore, GCD of numbers 187, 190, 49, 103 is 1
Given Input Data is 187, 190, 49, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 187 is 11 x 17
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 49 is 7 x 7
Prime Factorization of 103 is 103
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(187, 190) = 35530
GCD(187, 190) = ( 187 x 190 ) / 35530
GCD(187, 190) = 35530 / 35530
GCD(187, 190) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 187, 190, 49, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 187, 190, 49, 103?
GCD of 187, 190, 49, 103 is 1
2. Where do I get the detailed procedure to find GCD of 187, 190, 49, 103?
You can find a detailed procedure to find GCD of 187, 190, 49, 103 on our page.
3. How to find GCD of 187, 190, 49, 103 on a calculator?
You can find the GCD of 187, 190, 49, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.