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 925, 472, 398, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 925, 472, 398, 495 is 1
GCD(925, 472, 398, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 925, 472, 398, 495 is 1
GCD(925, 472, 398, 495) = 1
Given Input numbers are 925, 472, 398, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 925, 472, 398, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 925, 472, 398, 495 is 1.
Therefore, GCD of numbers 925, 472, 398, 495 is 1
Given Input Data is 925, 472, 398, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 472 is 2 x 2 x 2 x 59
Prime Factorization of 398 is 2 x 199
Prime Factorization of 495 is 3 x 3 x 5 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(925, 472) = 436600
GCD(925, 472) = ( 925 x 472 ) / 436600
GCD(925, 472) = 436600 / 436600
GCD(925, 472) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 925, 472, 398, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 925, 472, 398, 495?
GCD of 925, 472, 398, 495 is 1
2. Where do I get the detailed procedure to find GCD of 925, 472, 398, 495?
You can find a detailed procedure to find GCD of 925, 472, 398, 495 on our page.
3. How to find GCD of 925, 472, 398, 495 on a calculator?
You can find the GCD of 925, 472, 398, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.