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 614, 467, 956, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 614, 467, 956, 508 is 1
GCD(614, 467, 956, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 614, 467, 956, 508 is 1
GCD(614, 467, 956, 508) = 1
Given Input numbers are 614, 467, 956, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 614, 467, 956, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 467, 956, 508 is 1.
Therefore, GCD of numbers 614, 467, 956, 508 is 1
Given Input Data is 614, 467, 956, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 614 is 2 x 307
Prime Factorization of 467 is 467
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 508 is 2 x 2 x 127
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(614, 467) = 286738
GCD(614, 467) = ( 614 x 467 ) / 286738
GCD(614, 467) = 286738 / 286738
GCD(614, 467) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 614, 467, 956, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 614, 467, 956, 508?
GCD of 614, 467, 956, 508 is 1
2. Where do I get the detailed procedure to find GCD of 614, 467, 956, 508?
You can find a detailed procedure to find GCD of 614, 467, 956, 508 on our page.
3. How to find GCD of 614, 467, 956, 508 on a calculator?
You can find the GCD of 614, 467, 956, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.