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 476, 789, 610, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 476, 789, 610, 172 is 1
GCD(476, 789, 610, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 476, 789, 610, 172 is 1
GCD(476, 789, 610, 172) = 1
Given Input numbers are 476, 789, 610, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 476, 789, 610, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 789, 610, 172 is 1.
Therefore, GCD of numbers 476, 789, 610, 172 is 1
Given Input Data is 476, 789, 610, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 789 is 3 x 263
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 172 is 2 x 2 x 43
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(476, 789) = 375564
GCD(476, 789) = ( 476 x 789 ) / 375564
GCD(476, 789) = 375564 / 375564
GCD(476, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 610
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 610) = 610
GCD(1, 610) = ( 1 x 610 ) / 610
GCD(1, 610) = 610 / 610
GCD(1, 610) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 476, 789, 610, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 476, 789, 610, 172?
GCD of 476, 789, 610, 172 is 1
2. Where do I get the detailed procedure to find GCD of 476, 789, 610, 172?
You can find a detailed procedure to find GCD of 476, 789, 610, 172 on our page.
3. How to find GCD of 476, 789, 610, 172 on a calculator?
You can find the GCD of 476, 789, 610, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.