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 364, 141, 43, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 141, 43, 197 is 1
GCD(364, 141, 43, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 141, 43, 197 is 1
GCD(364, 141, 43, 197) = 1
Given Input numbers are 364, 141, 43, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 364, 141, 43, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 141, 43, 197 is 1.
Therefore, GCD of numbers 364, 141, 43, 197 is 1
Given Input Data is 364, 141, 43, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 141 is 3 x 47
Prime Factorization of 43 is 43
Prime Factorization of 197 is 197
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(364, 141) = 51324
GCD(364, 141) = ( 364 x 141 ) / 51324
GCD(364, 141) = 51324 / 51324
GCD(364, 141) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
GCD of 364, 141, 43, 197 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 141, 43, 197?
GCD of 364, 141, 43, 197 is 1
2. Where do I get the detailed procedure to find GCD of 364, 141, 43, 197?
You can find a detailed procedure to find GCD of 364, 141, 43, 197 on our page.
3. How to find GCD of 364, 141, 43, 197 on a calculator?
You can find the GCD of 364, 141, 43, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.