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 861, 903, 25, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 903, 25, 946 is 1
GCD(861, 903, 25, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 903, 25, 946 is 1
GCD(861, 903, 25, 946) = 1
Given Input numbers are 861, 903, 25, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 903
List of positive integer divisors of 903 that divides 903 without a remainder.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 861, 903, 25, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 903, 25, 946 is 1.
Therefore, GCD of numbers 861, 903, 25, 946 is 1
Given Input Data is 861, 903, 25, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 903 is 3 x 7 x 43
Prime Factorization of 25 is 5 x 5
Prime Factorization of 946 is 2 x 11 x 43
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(861, 903) = 37023
GCD(861, 903) = ( 861 x 903 ) / 37023
GCD(861, 903) = 777483 / 37023
GCD(861, 903) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 25) = 525
GCD(21, 25) = ( 21 x 25 ) / 525
GCD(21, 25) = 525 / 525
GCD(21, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 861, 903, 25, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 903, 25, 946?
GCD of 861, 903, 25, 946 is 1
2. Where do I get the detailed procedure to find GCD of 861, 903, 25, 946?
You can find a detailed procedure to find GCD of 861, 903, 25, 946 on our page.
3. How to find GCD of 861, 903, 25, 946 on a calculator?
You can find the GCD of 861, 903, 25, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.