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 820, 714, 97, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 714, 97, 200 is 1
GCD(820, 714, 97, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 714, 97, 200 is 1
GCD(820, 714, 97, 200) = 1
Given Input numbers are 820, 714, 97, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
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
Greatest Common Divisior
We found the divisors of 820, 714, 97, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 714, 97, 200 is 1.
Therefore, GCD of numbers 820, 714, 97, 200 is 1
Given Input Data is 820, 714, 97, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 97 is 97
Prime Factorization of 200 is 2 x 2 x 2 x 5 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(820, 714) = 292740
GCD(820, 714) = ( 820 x 714 ) / 292740
GCD(820, 714) = 585480 / 292740
GCD(820, 714) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 97) = 194
GCD(2, 97) = ( 2 x 97 ) / 194
GCD(2, 97) = 194 / 194
GCD(2, 97) = 1
Step3:
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
GCD of 820, 714, 97, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 714, 97, 200?
GCD of 820, 714, 97, 200 is 1
2. Where do I get the detailed procedure to find GCD of 820, 714, 97, 200?
You can find a detailed procedure to find GCD of 820, 714, 97, 200 on our page.
3. How to find GCD of 820, 714, 97, 200 on a calculator?
You can find the GCD of 820, 714, 97, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.