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 321, 475, 955, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 475, 955, 160 is 1
GCD(321, 475, 955, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 475, 955, 160 is 1
GCD(321, 475, 955, 160) = 1
Given Input numbers are 321, 475, 955, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 321, 475, 955, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 475, 955, 160 is 1.
Therefore, GCD of numbers 321, 475, 955, 160 is 1
Given Input Data is 321, 475, 955, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 955 is 5 x 191
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(321, 475) = 152475
GCD(321, 475) = ( 321 x 475 ) / 152475
GCD(321, 475) = 152475 / 152475
GCD(321, 475) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 321, 475, 955, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 475, 955, 160?
GCD of 321, 475, 955, 160 is 1
2. Where do I get the detailed procedure to find GCD of 321, 475, 955, 160?
You can find a detailed procedure to find GCD of 321, 475, 955, 160 on our page.
3. How to find GCD of 321, 475, 955, 160 on a calculator?
You can find the GCD of 321, 475, 955, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.