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 715, 424, 200, 528 i.e. 1 largest integer that divides all the numbers equally.
GCD of 715, 424, 200, 528 is 1
GCD(715, 424, 200, 528) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 424, 200, 528 is 1
GCD(715, 424, 200, 528) = 1
Given Input numbers are 715, 424, 200, 528
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Greatest Common Divisior
We found the divisors of 715, 424, 200, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 424, 200, 528 is 1.
Therefore, GCD of numbers 715, 424, 200, 528 is 1
Given Input Data is 715, 424, 200, 528
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(715, 424) = 303160
GCD(715, 424) = ( 715 x 424 ) / 303160
GCD(715, 424) = 303160 / 303160
GCD(715, 424) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
GCD of 715, 424, 200, 528 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 424, 200, 528?
GCD of 715, 424, 200, 528 is 1
2. Where do I get the detailed procedure to find GCD of 715, 424, 200, 528?
You can find a detailed procedure to find GCD of 715, 424, 200, 528 on our page.
3. How to find GCD of 715, 424, 200, 528 on a calculator?
You can find the GCD of 715, 424, 200, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.