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 262, 393, 435, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 393, 435, 565 is 1
GCD(262, 393, 435, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 393, 435, 565 is 1
GCD(262, 393, 435, 565) = 1
Given Input numbers are 262, 393, 435, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 262, 393, 435, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 393, 435, 565 is 1.
Therefore, GCD of numbers 262, 393, 435, 565 is 1
Given Input Data is 262, 393, 435, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 393 is 3 x 131
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 565 is 5 x 113
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(262, 393) = 786
GCD(262, 393) = ( 262 x 393 ) / 786
GCD(262, 393) = 102966 / 786
GCD(262, 393) = 131
Step2:
Here we consider the GCD from the above i.e. 131 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(131, 435) = 56985
GCD(131, 435) = ( 131 x 435 ) / 56985
GCD(131, 435) = 56985 / 56985
GCD(131, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 262, 393, 435, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 393, 435, 565?
GCD of 262, 393, 435, 565 is 1
2. Where do I get the detailed procedure to find GCD of 262, 393, 435, 565?
You can find a detailed procedure to find GCD of 262, 393, 435, 565 on our page.
3. How to find GCD of 262, 393, 435, 565 on a calculator?
You can find the GCD of 262, 393, 435, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.