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 160, 478, 83, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 478, 83, 279 is 1
GCD(160, 478, 83, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 478, 83, 279 is 1
GCD(160, 478, 83, 279) = 1
Given Input numbers are 160, 478, 83, 279
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 160, 478, 83, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 478, 83, 279 is 1.
Therefore, GCD of numbers 160, 478, 83, 279 is 1
Given Input Data is 160, 478, 83, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 478 is 2 x 239
Prime Factorization of 83 is 83
Prime Factorization of 279 is 3 x 3 x 31
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(160, 478) = 38240
GCD(160, 478) = ( 160 x 478 ) / 38240
GCD(160, 478) = 76480 / 38240
GCD(160, 478) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 160, 478, 83, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 478, 83, 279?
GCD of 160, 478, 83, 279 is 1
2. Where do I get the detailed procedure to find GCD of 160, 478, 83, 279?
You can find a detailed procedure to find GCD of 160, 478, 83, 279 on our page.
3. How to find GCD of 160, 478, 83, 279 on a calculator?
You can find the GCD of 160, 478, 83, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.