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 263, 269, 10, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 263, 269, 10, 292 is 1
GCD(263, 269, 10, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 263, 269, 10, 292 is 1
GCD(263, 269, 10, 292) = 1
Given Input numbers are 263, 269, 10, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 263, 269, 10, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 263, 269, 10, 292 is 1.
Therefore, GCD of numbers 263, 269, 10, 292 is 1
Given Input Data is 263, 269, 10, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 263 is 263
Prime Factorization of 269 is 269
Prime Factorization of 10 is 2 x 5
Prime Factorization of 292 is 2 x 2 x 73
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(263, 269) = 70747
GCD(263, 269) = ( 263 x 269 ) / 70747
GCD(263, 269) = 70747 / 70747
GCD(263, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 263, 269, 10, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 263, 269, 10, 292?
GCD of 263, 269, 10, 292 is 1
2. Where do I get the detailed procedure to find GCD of 263, 269, 10, 292?
You can find a detailed procedure to find GCD of 263, 269, 10, 292 on our page.
3. How to find GCD of 263, 269, 10, 292 on a calculator?
You can find the GCD of 263, 269, 10, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.