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, 265, 14, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 265, 14, 340 is 1
GCD(262, 265, 14, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 265, 14, 340 is 1
GCD(262, 265, 14, 340) = 1
Given Input numbers are 262, 265, 14, 340
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 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 262, 265, 14, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 265, 14, 340 is 1.
Therefore, GCD of numbers 262, 265, 14, 340 is 1
Given Input Data is 262, 265, 14, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 265 is 5 x 53
Prime Factorization of 14 is 2 x 7
Prime Factorization of 340 is 2 x 2 x 5 x 17
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, 265) = 69430
GCD(262, 265) = ( 262 x 265 ) / 69430
GCD(262, 265) = 69430 / 69430
GCD(262, 265) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 262, 265, 14, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 265, 14, 340?
GCD of 262, 265, 14, 340 is 1
2. Where do I get the detailed procedure to find GCD of 262, 265, 14, 340?
You can find a detailed procedure to find GCD of 262, 265, 14, 340 on our page.
3. How to find GCD of 262, 265, 14, 340 on a calculator?
You can find the GCD of 262, 265, 14, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.