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, 612, 67, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 852, 612, 67, 254 is 1
GCD(852, 612, 67, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 852, 612, 67, 254 is 1
GCD(852, 612, 67, 254) = 1
Given Input numbers are 852, 612, 67, 254
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 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 852, 612, 67, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 612, 67, 254 is 1.
Therefore, GCD of numbers 852, 612, 67, 254 is 1
Given Input Data is 852, 612, 67, 254
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 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 67 is 67
Prime Factorization of 254 is 2 x 127
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, 612) = 43452
GCD(852, 612) = ( 852 x 612 ) / 43452
GCD(852, 612) = 521424 / 43452
GCD(852, 612) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 67) = 804
GCD(12, 67) = ( 12 x 67 ) / 804
GCD(12, 67) = 804 / 804
GCD(12, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 852, 612, 67, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 852, 612, 67, 254?
GCD of 852, 612, 67, 254 is 1
2. Where do I get the detailed procedure to find GCD of 852, 612, 67, 254?
You can find a detailed procedure to find GCD of 852, 612, 67, 254 on our page.
3. How to find GCD of 852, 612, 67, 254 on a calculator?
You can find the GCD of 852, 612, 67, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.