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 265, 761, 14, 442 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 761, 14, 442 is 1
GCD(265, 761, 14, 442) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 761, 14, 442 is 1
GCD(265, 761, 14, 442) = 1
Given Input numbers are 265, 761, 14, 442
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Greatest Common Divisior
We found the divisors of 265, 761, 14, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 761, 14, 442 is 1.
Therefore, GCD of numbers 265, 761, 14, 442 is 1
Given Input Data is 265, 761, 14, 442
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 761 is 761
Prime Factorization of 14 is 2 x 7
Prime Factorization of 442 is 2 x 13 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(265, 761) = 201665
GCD(265, 761) = ( 265 x 761 ) / 201665
GCD(265, 761) = 201665 / 201665
GCD(265, 761) = 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 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
GCD of 265, 761, 14, 442 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 761, 14, 442?
GCD of 265, 761, 14, 442 is 1
2. Where do I get the detailed procedure to find GCD of 265, 761, 14, 442?
You can find a detailed procedure to find GCD of 265, 761, 14, 442 on our page.
3. How to find GCD of 265, 761, 14, 442 on a calculator?
You can find the GCD of 265, 761, 14, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.