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 467, 854, 25, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 467, 854, 25, 352 is 1
GCD(467, 854, 25, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 467, 854, 25, 352 is 1
GCD(467, 854, 25, 352) = 1
Given Input numbers are 467, 854, 25, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 467, 854, 25, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 854, 25, 352 is 1.
Therefore, GCD of numbers 467, 854, 25, 352 is 1
Given Input Data is 467, 854, 25, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 467 is 467
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 25 is 5 x 5
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(467, 854) = 398818
GCD(467, 854) = ( 467 x 854 ) / 398818
GCD(467, 854) = 398818 / 398818
GCD(467, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 467, 854, 25, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 467, 854, 25, 352?
GCD of 467, 854, 25, 352 is 1
2. Where do I get the detailed procedure to find GCD of 467, 854, 25, 352?
You can find a detailed procedure to find GCD of 467, 854, 25, 352 on our page.
3. How to find GCD of 467, 854, 25, 352 on a calculator?
You can find the GCD of 467, 854, 25, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.