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, 241, 564, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 714, 241, 564, 320 is 1
GCD(714, 241, 564, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 714, 241, 564, 320 is 1
GCD(714, 241, 564, 320) = 1
Given Input numbers are 714, 241, 564, 320
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 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 714, 241, 564, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 241, 564, 320 is 1.
Therefore, GCD of numbers 714, 241, 564, 320 is 1
Given Input Data is 714, 241, 564, 320
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 241 is 241
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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, 241) = 172074
GCD(714, 241) = ( 714 x 241 ) / 172074
GCD(714, 241) = 172074 / 172074
GCD(714, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 714, 241, 564, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 714, 241, 564, 320?
GCD of 714, 241, 564, 320 is 1
2. Where do I get the detailed procedure to find GCD of 714, 241, 564, 320?
You can find a detailed procedure to find GCD of 714, 241, 564, 320 on our page.
3. How to find GCD of 714, 241, 564, 320 on a calculator?
You can find the GCD of 714, 241, 564, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.