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 103, 464, 76, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 464, 76, 179 is 1
GCD(103, 464, 76, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 464, 76, 179 is 1
GCD(103, 464, 76, 179) = 1
Given Input numbers are 103, 464, 76, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 103, 464, 76, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 464, 76, 179 is 1.
Therefore, GCD of numbers 103, 464, 76, 179 is 1
Given Input Data is 103, 464, 76, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 179 is 179
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(103, 464) = 47792
GCD(103, 464) = ( 103 x 464 ) / 47792
GCD(103, 464) = 47792 / 47792
GCD(103, 464) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 103, 464, 76, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 464, 76, 179?
GCD of 103, 464, 76, 179 is 1
2. Where do I get the detailed procedure to find GCD of 103, 464, 76, 179?
You can find a detailed procedure to find GCD of 103, 464, 76, 179 on our page.
3. How to find GCD of 103, 464, 76, 179 on a calculator?
You can find the GCD of 103, 464, 76, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.