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 801, 560, 96, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 801, 560, 96, 269 is 1
GCD(801, 560, 96, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 801, 560, 96, 269 is 1
GCD(801, 560, 96, 269) = 1
Given Input numbers are 801, 560, 96, 269
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
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 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 801, 560, 96, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 560, 96, 269 is 1.
Therefore, GCD of numbers 801, 560, 96, 269 is 1
Given Input Data is 801, 560, 96, 269
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 269 is 269
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(801, 560) = 448560
GCD(801, 560) = ( 801 x 560 ) / 448560
GCD(801, 560) = 448560 / 448560
GCD(801, 560) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
GCD of 801, 560, 96, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 801, 560, 96, 269?
GCD of 801, 560, 96, 269 is 1
2. Where do I get the detailed procedure to find GCD of 801, 560, 96, 269?
You can find a detailed procedure to find GCD of 801, 560, 96, 269 on our page.
3. How to find GCD of 801, 560, 96, 269 on a calculator?
You can find the GCD of 801, 560, 96, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.