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, 713, 30, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 713, 30, 552 is 1
GCD(276, 713, 30, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 713, 30, 552 is 1
GCD(276, 713, 30, 552) = 1
Given Input numbers are 276, 713, 30, 552
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 276, 713, 30, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 713, 30, 552 is 1.
Therefore, GCD of numbers 276, 713, 30, 552 is 1
Given Input Data is 276, 713, 30, 552
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 713 is 23 x 31
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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, 713) = 8556
GCD(276, 713) = ( 276 x 713 ) / 8556
GCD(276, 713) = 196788 / 8556
GCD(276, 713) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 30) = 690
GCD(23, 30) = ( 23 x 30 ) / 690
GCD(23, 30) = 690 / 690
GCD(23, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 276, 713, 30, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 713, 30, 552?
GCD of 276, 713, 30, 552 is 1
2. Where do I get the detailed procedure to find GCD of 276, 713, 30, 552?
You can find a detailed procedure to find GCD of 276, 713, 30, 552 on our page.
3. How to find GCD of 276, 713, 30, 552 on a calculator?
You can find the GCD of 276, 713, 30, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.