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, 560, 364, 315 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 560, 364, 315 is 1
GCD(276, 560, 364, 315) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 560, 364, 315 is 1
GCD(276, 560, 364, 315) = 1
Given Input numbers are 276, 560, 364, 315
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Greatest Common Divisior
We found the divisors of 276, 560, 364, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 560, 364, 315 is 1.
Therefore, GCD of numbers 276, 560, 364, 315 is 1
Given Input Data is 276, 560, 364, 315
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 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 315 is 3 x 3 x 5 x 7
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, 560) = 38640
GCD(276, 560) = ( 276 x 560 ) / 38640
GCD(276, 560) = 154560 / 38640
GCD(276, 560) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 364) = 364
GCD(4, 364) = ( 4 x 364 ) / 364
GCD(4, 364) = 1456 / 364
GCD(4, 364) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 315
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 315) = 1260
GCD(4, 315) = ( 4 x 315 ) / 1260
GCD(4, 315) = 1260 / 1260
GCD(4, 315) = 1
GCD of 276, 560, 364, 315 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 560, 364, 315?
GCD of 276, 560, 364, 315 is 1
2. Where do I get the detailed procedure to find GCD of 276, 560, 364, 315?
You can find a detailed procedure to find GCD of 276, 560, 364, 315 on our page.
3. How to find GCD of 276, 560, 364, 315 on a calculator?
You can find the GCD of 276, 560, 364, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.