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 947, 966, 25, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 947, 966, 25, 252 is 1
GCD(947, 966, 25, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 947, 966, 25, 252 is 1
GCD(947, 966, 25, 252) = 1
Given Input numbers are 947, 966, 25, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Greatest Common Divisior
We found the divisors of 947, 966, 25, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 966, 25, 252 is 1.
Therefore, GCD of numbers 947, 966, 25, 252 is 1
Given Input Data is 947, 966, 25, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 947 is 947
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 25 is 5 x 5
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
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(947, 966) = 914802
GCD(947, 966) = ( 947 x 966 ) / 914802
GCD(947, 966) = 914802 / 914802
GCD(947, 966) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
GCD of 947, 966, 25, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 947, 966, 25, 252?
GCD of 947, 966, 25, 252 is 1
2. Where do I get the detailed procedure to find GCD of 947, 966, 25, 252?
You can find a detailed procedure to find GCD of 947, 966, 25, 252 on our page.
3. How to find GCD of 947, 966, 25, 252 on a calculator?
You can find the GCD of 947, 966, 25, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.