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 904, 712, 87, 252 i.e. 1 largest integer that divides all the numbers equally.
GCD of 904, 712, 87, 252 is 1
GCD(904, 712, 87, 252) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 904, 712, 87, 252 is 1
GCD(904, 712, 87, 252) = 1
Given Input numbers are 904, 712, 87, 252
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
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 904, 712, 87, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 712, 87, 252 is 1.
Therefore, GCD of numbers 904, 712, 87, 252 is 1
Given Input Data is 904, 712, 87, 252
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 87 is 3 x 29
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(904, 712) = 80456
GCD(904, 712) = ( 904 x 712 ) / 80456
GCD(904, 712) = 643648 / 80456
GCD(904, 712) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 87) = 696
GCD(8, 87) = ( 8 x 87 ) / 696
GCD(8, 87) = 696 / 696
GCD(8, 87) = 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 904, 712, 87, 252 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 904, 712, 87, 252?
GCD of 904, 712, 87, 252 is 1
2. Where do I get the detailed procedure to find GCD of 904, 712, 87, 252?
You can find a detailed procedure to find GCD of 904, 712, 87, 252 on our page.
3. How to find GCD of 904, 712, 87, 252 on a calculator?
You can find the GCD of 904, 712, 87, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.