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 480, 859, 41, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 859, 41, 167 is 1
GCD(480, 859, 41, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 859, 41, 167 is 1
GCD(480, 859, 41, 167) = 1
Given Input numbers are 480, 859, 41, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 480, 859, 41, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 859, 41, 167 is 1.
Therefore, GCD of numbers 480, 859, 41, 167 is 1
Given Input Data is 480, 859, 41, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 859 is 859
Prime Factorization of 41 is 41
Prime Factorization of 167 is 167
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(480, 859) = 412320
GCD(480, 859) = ( 480 x 859 ) / 412320
GCD(480, 859) = 412320 / 412320
GCD(480, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 480, 859, 41, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 859, 41, 167?
GCD of 480, 859, 41, 167 is 1
2. Where do I get the detailed procedure to find GCD of 480, 859, 41, 167?
You can find a detailed procedure to find GCD of 480, 859, 41, 167 on our page.
3. How to find GCD of 480, 859, 41, 167 on a calculator?
You can find the GCD of 480, 859, 41, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.