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 557, 654, 12, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 557, 654, 12, 182 is 1
GCD(557, 654, 12, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 557, 654, 12, 182 is 1
GCD(557, 654, 12, 182) = 1
Given Input numbers are 557, 654, 12, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 557, 654, 12, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 557, 654, 12, 182 is 1.
Therefore, GCD of numbers 557, 654, 12, 182 is 1
Given Input Data is 557, 654, 12, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 557 is 557
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 182 is 2 x 7 x 13
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(557, 654) = 364278
GCD(557, 654) = ( 557 x 654 ) / 364278
GCD(557, 654) = 364278 / 364278
GCD(557, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
GCD of 557, 654, 12, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 557, 654, 12, 182?
GCD of 557, 654, 12, 182 is 1
2. Where do I get the detailed procedure to find GCD of 557, 654, 12, 182?
You can find a detailed procedure to find GCD of 557, 654, 12, 182 on our page.
3. How to find GCD of 557, 654, 12, 182 on a calculator?
You can find the GCD of 557, 654, 12, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.