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 412, 746, 146, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 746, 146, 559 is 1
GCD(412, 746, 146, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 746, 146, 559 is 1
GCD(412, 746, 146, 559) = 1
Given Input numbers are 412, 746, 146, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 412, 746, 146, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 746, 146, 559 is 1.
Therefore, GCD of numbers 412, 746, 146, 559 is 1
Given Input Data is 412, 746, 146, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 746 is 2 x 373
Prime Factorization of 146 is 2 x 73
Prime Factorization of 559 is 13 x 43
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(412, 746) = 153676
GCD(412, 746) = ( 412 x 746 ) / 153676
GCD(412, 746) = 307352 / 153676
GCD(412, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 146) = 146
GCD(2, 146) = ( 2 x 146 ) / 146
GCD(2, 146) = 292 / 146
GCD(2, 146) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 559) = 1118
GCD(2, 559) = ( 2 x 559 ) / 1118
GCD(2, 559) = 1118 / 1118
GCD(2, 559) = 1
GCD of 412, 746, 146, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 746, 146, 559?
GCD of 412, 746, 146, 559 is 1
2. Where do I get the detailed procedure to find GCD of 412, 746, 146, 559?
You can find a detailed procedure to find GCD of 412, 746, 146, 559 on our page.
3. How to find GCD of 412, 746, 146, 559 on a calculator?
You can find the GCD of 412, 746, 146, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.