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 763, 459, 14, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 459, 14, 425 is 1
GCD(763, 459, 14, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 459, 14, 425 is 1
GCD(763, 459, 14, 425) = 1
Given Input numbers are 763, 459, 14, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 763, 459, 14, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 459, 14, 425 is 1.
Therefore, GCD of numbers 763, 459, 14, 425 is 1
Given Input Data is 763, 459, 14, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 14 is 2 x 7
Prime Factorization of 425 is 5 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(763, 459) = 350217
GCD(763, 459) = ( 763 x 459 ) / 350217
GCD(763, 459) = 350217 / 350217
GCD(763, 459) = 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 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 763, 459, 14, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 459, 14, 425?
GCD of 763, 459, 14, 425 is 1
2. Where do I get the detailed procedure to find GCD of 763, 459, 14, 425?
You can find a detailed procedure to find GCD of 763, 459, 14, 425 on our page.
3. How to find GCD of 763, 459, 14, 425 on a calculator?
You can find the GCD of 763, 459, 14, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.