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 893, 802, 28, 560 i.e. 1 largest integer that divides all the numbers equally.
GCD of 893, 802, 28, 560 is 1
GCD(893, 802, 28, 560) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 893, 802, 28, 560 is 1
GCD(893, 802, 28, 560) = 1
Given Input numbers are 893, 802, 28, 560
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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
Greatest Common Divisior
We found the divisors of 893, 802, 28, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 893, 802, 28, 560 is 1.
Therefore, GCD of numbers 893, 802, 28, 560 is 1
Given Input Data is 893, 802, 28, 560
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 893 is 19 x 47
Prime Factorization of 802 is 2 x 401
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 560 is 2 x 2 x 2 x 2 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(893, 802) = 716186
GCD(893, 802) = ( 893 x 802 ) / 716186
GCD(893, 802) = 716186 / 716186
GCD(893, 802) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 560
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
GCD(1, 560) = 560 / 560
GCD(1, 560) = 1
GCD of 893, 802, 28, 560 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 893, 802, 28, 560?
GCD of 893, 802, 28, 560 is 1
2. Where do I get the detailed procedure to find GCD of 893, 802, 28, 560?
You can find a detailed procedure to find GCD of 893, 802, 28, 560 on our page.
3. How to find GCD of 893, 802, 28, 560 on a calculator?
You can find the GCD of 893, 802, 28, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.