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 456, 831, 414, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 456, 831, 414, 925 is 1
GCD(456, 831, 414, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 456, 831, 414, 925 is 1
GCD(456, 831, 414, 925) = 1
Given Input numbers are 456, 831, 414, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 456, 831, 414, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 831, 414, 925 is 1.
Therefore, GCD of numbers 456, 831, 414, 925 is 1
Given Input Data is 456, 831, 414, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 831 is 3 x 277
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 925 is 5 x 5 x 37
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(456, 831) = 126312
GCD(456, 831) = ( 456 x 831 ) / 126312
GCD(456, 831) = 378936 / 126312
GCD(456, 831) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 414) = 414
GCD(3, 414) = ( 3 x 414 ) / 414
GCD(3, 414) = 1242 / 414
GCD(3, 414) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 925) = 2775
GCD(3, 925) = ( 3 x 925 ) / 2775
GCD(3, 925) = 2775 / 2775
GCD(3, 925) = 1
GCD of 456, 831, 414, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 456, 831, 414, 925?
GCD of 456, 831, 414, 925 is 1
2. Where do I get the detailed procedure to find GCD of 456, 831, 414, 925?
You can find a detailed procedure to find GCD of 456, 831, 414, 925 on our page.
3. How to find GCD of 456, 831, 414, 925 on a calculator?
You can find the GCD of 456, 831, 414, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.