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 625, 885, 766, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 625, 885, 766, 422 is 1
GCD(625, 885, 766, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 625, 885, 766, 422 is 1
GCD(625, 885, 766, 422) = 1
Given Input numbers are 625, 885, 766, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 625, 885, 766, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 885, 766, 422 is 1.
Therefore, GCD of numbers 625, 885, 766, 422 is 1
Given Input Data is 625, 885, 766, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 766 is 2 x 383
Prime Factorization of 422 is 2 x 211
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(625, 885) = 110625
GCD(625, 885) = ( 625 x 885 ) / 110625
GCD(625, 885) = 553125 / 110625
GCD(625, 885) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 766) = 3830
GCD(5, 766) = ( 5 x 766 ) / 3830
GCD(5, 766) = 3830 / 3830
GCD(5, 766) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 625, 885, 766, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 625, 885, 766, 422?
GCD of 625, 885, 766, 422 is 1
2. Where do I get the detailed procedure to find GCD of 625, 885, 766, 422?
You can find a detailed procedure to find GCD of 625, 885, 766, 422 on our page.
3. How to find GCD of 625, 885, 766, 422 on a calculator?
You can find the GCD of 625, 885, 766, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.