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 52, 152, 867, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 152, 867, 292 is 1
GCD(52, 152, 867, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 152, 867, 292 is 1
GCD(52, 152, 867, 292) = 1
Given Input numbers are 52, 152, 867, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 52, 152, 867, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 152, 867, 292 is 1.
Therefore, GCD of numbers 52, 152, 867, 292 is 1
Given Input Data is 52, 152, 867, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 292 is 2 x 2 x 73
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(52, 152) = 1976
GCD(52, 152) = ( 52 x 152 ) / 1976
GCD(52, 152) = 7904 / 1976
GCD(52, 152) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 867) = 3468
GCD(4, 867) = ( 4 x 867 ) / 3468
GCD(4, 867) = 3468 / 3468
GCD(4, 867) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 52, 152, 867, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 152, 867, 292?
GCD of 52, 152, 867, 292 is 1
2. Where do I get the detailed procedure to find GCD of 52, 152, 867, 292?
You can find a detailed procedure to find GCD of 52, 152, 867, 292 on our page.
3. How to find GCD of 52, 152, 867, 292 on a calculator?
You can find the GCD of 52, 152, 867, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.