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 314, 470, 187, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 470, 187, 925 is 1
GCD(314, 470, 187, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 470, 187, 925 is 1
GCD(314, 470, 187, 925) = 1
Given Input numbers are 314, 470, 187, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
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 314, 470, 187, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 470, 187, 925 is 1.
Therefore, GCD of numbers 314, 470, 187, 925 is 1
Given Input Data is 314, 470, 187, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 187 is 11 x 17
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(314, 470) = 73790
GCD(314, 470) = ( 314 x 470 ) / 73790
GCD(314, 470) = 147580 / 73790
GCD(314, 470) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
GCD(2, 187) = 374 / 374
GCD(2, 187) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 314, 470, 187, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 470, 187, 925?
GCD of 314, 470, 187, 925 is 1
2. Where do I get the detailed procedure to find GCD of 314, 470, 187, 925?
You can find a detailed procedure to find GCD of 314, 470, 187, 925 on our page.
3. How to find GCD of 314, 470, 187, 925 on a calculator?
You can find the GCD of 314, 470, 187, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.