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 159, 550, 46, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 550, 46, 398 is 1
GCD(159, 550, 46, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 550, 46, 398 is 1
GCD(159, 550, 46, 398) = 1
Given Input numbers are 159, 550, 46, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 159, 550, 46, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 550, 46, 398 is 1.
Therefore, GCD of numbers 159, 550, 46, 398 is 1
Given Input Data is 159, 550, 46, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 46 is 2 x 23
Prime Factorization of 398 is 2 x 199
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(159, 550) = 87450
GCD(159, 550) = ( 159 x 550 ) / 87450
GCD(159, 550) = 87450 / 87450
GCD(159, 550) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 159, 550, 46, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 550, 46, 398?
GCD of 159, 550, 46, 398 is 1
2. Where do I get the detailed procedure to find GCD of 159, 550, 46, 398?
You can find a detailed procedure to find GCD of 159, 550, 46, 398 on our page.
3. How to find GCD of 159, 550, 46, 398 on a calculator?
You can find the GCD of 159, 550, 46, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.