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 276, 852, 28, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 852, 28, 561 is 1
GCD(276, 852, 28, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 852, 28, 561 is 1
GCD(276, 852, 28, 561) = 1
Given Input numbers are 276, 852, 28, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
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 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 276, 852, 28, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 852, 28, 561 is 1.
Therefore, GCD of numbers 276, 852, 28, 561 is 1
Given Input Data is 276, 852, 28, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 561 is 3 x 11 x 17
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(276, 852) = 19596
GCD(276, 852) = ( 276 x 852 ) / 19596
GCD(276, 852) = 235152 / 19596
GCD(276, 852) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 28) = 84
GCD(12, 28) = ( 12 x 28 ) / 84
GCD(12, 28) = 336 / 84
GCD(12, 28) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 561) = 2244
GCD(4, 561) = ( 4 x 561 ) / 2244
GCD(4, 561) = 2244 / 2244
GCD(4, 561) = 1
GCD of 276, 852, 28, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 852, 28, 561?
GCD of 276, 852, 28, 561 is 1
2. Where do I get the detailed procedure to find GCD of 276, 852, 28, 561?
You can find a detailed procedure to find GCD of 276, 852, 28, 561 on our page.
3. How to find GCD of 276, 852, 28, 561 on a calculator?
You can find the GCD of 276, 852, 28, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.