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 730, 820, 551 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 820, 551 is 1
GCD(730, 820, 551) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 820, 551 is 1
GCD(730, 820, 551) = 1
Given Input numbers are 730, 820, 551
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
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 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Greatest Common Divisior
We found the divisors of 730, 820, 551 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 820, 551 is 1.
Therefore, GCD of numbers 730, 820, 551 is 1
Given Input Data is 730, 820, 551
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 551 is 19 x 29
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(730, 820) = 59860
GCD(730, 820) = ( 730 x 820 ) / 59860
GCD(730, 820) = 598600 / 59860
GCD(730, 820) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 551
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 551) = 5510
GCD(10, 551) = ( 10 x 551 ) / 5510
GCD(10, 551) = 5510 / 5510
GCD(10, 551) = 1
GCD of 730, 820, 551 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 820, 551?
GCD of 730, 820, 551 is 1
2. Where do I get the detailed procedure to find GCD of 730, 820, 551?
You can find a detailed procedure to find GCD of 730, 820, 551 on our page.
3. How to find GCD of 730, 820, 551 on a calculator?
You can find the GCD of 730, 820, 551 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.