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 908, 651, 826, 614 i.e. 1 largest integer that divides all the numbers equally.
GCD of 908, 651, 826, 614 is 1
GCD(908, 651, 826, 614) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 908, 651, 826, 614 is 1
GCD(908, 651, 826, 614) = 1
Given Input numbers are 908, 651, 826, 614
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Greatest Common Divisior
We found the divisors of 908, 651, 826, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 651, 826, 614 is 1.
Therefore, GCD of numbers 908, 651, 826, 614 is 1
Given Input Data is 908, 651, 826, 614
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 614 is 2 x 307
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(908, 651) = 591108
GCD(908, 651) = ( 908 x 651 ) / 591108
GCD(908, 651) = 591108 / 591108
GCD(908, 651) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
GCD(1, 614) = 614 / 614
GCD(1, 614) = 1
GCD of 908, 651, 826, 614 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 908, 651, 826, 614?
GCD of 908, 651, 826, 614 is 1
2. Where do I get the detailed procedure to find GCD of 908, 651, 826, 614?
You can find a detailed procedure to find GCD of 908, 651, 826, 614 on our page.
3. How to find GCD of 908, 651, 826, 614 on a calculator?
You can find the GCD of 908, 651, 826, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.