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 714, 325, 864, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 325, 864, 154 is 1
GCD(714, 325, 864, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 325, 864, 154 is 1
GCD(714, 325, 864, 154) = 1
Given Input numbers are 714, 325, 864, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 714, 325, 864, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 325, 864, 154 is 1.
Therefore, GCD of numbers 714, 325, 864, 154 is 1
Given Input Data is 714, 325, 864, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 154 is 2 x 7 x 11
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(714, 325) = 232050
GCD(714, 325) = ( 714 x 325 ) / 232050
GCD(714, 325) = 232050 / 232050
GCD(714, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 714, 325, 864, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 325, 864, 154?
GCD of 714, 325, 864, 154 is 1
2. Where do I get the detailed procedure to find GCD of 714, 325, 864, 154?
You can find a detailed procedure to find GCD of 714, 325, 864, 154 on our page.
3. How to find GCD of 714, 325, 864, 154 on a calculator?
You can find the GCD of 714, 325, 864, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.