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 852, 624, 902, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 624, 902, 247 is 1
GCD(852, 624, 902, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 624, 902, 247 is 1
GCD(852, 624, 902, 247) = 1
Given Input numbers are 852, 624, 902, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 852, 624, 902, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 624, 902, 247 is 1.
Therefore, GCD of numbers 852, 624, 902, 247 is 1
Given Input Data is 852, 624, 902, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 247 is 13 x 19
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(852, 624) = 44304
GCD(852, 624) = ( 852 x 624 ) / 44304
GCD(852, 624) = 531648 / 44304
GCD(852, 624) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 902) = 5412
GCD(12, 902) = ( 12 x 902 ) / 5412
GCD(12, 902) = 10824 / 5412
GCD(12, 902) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 247) = 494
GCD(2, 247) = ( 2 x 247 ) / 494
GCD(2, 247) = 494 / 494
GCD(2, 247) = 1
GCD of 852, 624, 902, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 624, 902, 247?
GCD of 852, 624, 902, 247 is 1
2. Where do I get the detailed procedure to find GCD of 852, 624, 902, 247?
You can find a detailed procedure to find GCD of 852, 624, 902, 247 on our page.
3. How to find GCD of 852, 624, 902, 247 on a calculator?
You can find the GCD of 852, 624, 902, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.