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 556, 348, 91, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 556, 348, 91, 189 is 1
GCD(556, 348, 91, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 556, 348, 91, 189 is 1
GCD(556, 348, 91, 189) = 1
Given Input numbers are 556, 348, 91, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 556, 348, 91, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 348, 91, 189 is 1.
Therefore, GCD of numbers 556, 348, 91, 189 is 1
Given Input Data is 556, 348, 91, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 91 is 7 x 13
Prime Factorization of 189 is 3 x 3 x 3 x 7
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(556, 348) = 48372
GCD(556, 348) = ( 556 x 348 ) / 48372
GCD(556, 348) = 193488 / 48372
GCD(556, 348) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 91) = 364
GCD(4, 91) = ( 4 x 91 ) / 364
GCD(4, 91) = 364 / 364
GCD(4, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 556, 348, 91, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 556, 348, 91, 189?
GCD of 556, 348, 91, 189 is 1
2. Where do I get the detailed procedure to find GCD of 556, 348, 91, 189?
You can find a detailed procedure to find GCD of 556, 348, 91, 189 on our page.
3. How to find GCD of 556, 348, 91, 189 on a calculator?
You can find the GCD of 556, 348, 91, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.