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 560, 970, 27, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 970, 27, 861 is 1
GCD(560, 970, 27, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 970, 27, 861 is 1
GCD(560, 970, 27, 861) = 1
Given Input numbers are 560, 970, 27, 861
To find the GCD of numbers using factoring list out all the divisors of each number
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 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 560, 970, 27, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 970, 27, 861 is 1.
Therefore, GCD of numbers 560, 970, 27, 861 is 1
Given Input Data is 560, 970, 27, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 861 is 3 x 7 x 41
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(560, 970) = 54320
GCD(560, 970) = ( 560 x 970 ) / 54320
GCD(560, 970) = 543200 / 54320
GCD(560, 970) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 27) = 270
GCD(10, 27) = ( 10 x 27 ) / 270
GCD(10, 27) = 270 / 270
GCD(10, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 560, 970, 27, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 970, 27, 861?
GCD of 560, 970, 27, 861 is 1
2. Where do I get the detailed procedure to find GCD of 560, 970, 27, 861?
You can find a detailed procedure to find GCD of 560, 970, 27, 861 on our page.
3. How to find GCD of 560, 970, 27, 861 on a calculator?
You can find the GCD of 560, 970, 27, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.