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 830, 480, 57, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 830, 480, 57, 698 is 1
GCD(830, 480, 57, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 830, 480, 57, 698 is 1
GCD(830, 480, 57, 698) = 1
Given Input numbers are 830, 480, 57, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 830, 480, 57, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 480, 57, 698 is 1.
Therefore, GCD of numbers 830, 480, 57, 698 is 1
Given Input Data is 830, 480, 57, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 57 is 3 x 19
Prime Factorization of 698 is 2 x 349
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(830, 480) = 39840
GCD(830, 480) = ( 830 x 480 ) / 39840
GCD(830, 480) = 398400 / 39840
GCD(830, 480) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 57) = 570
GCD(10, 57) = ( 10 x 57 ) / 570
GCD(10, 57) = 570 / 570
GCD(10, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
GCD of 830, 480, 57, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 830, 480, 57, 698?
GCD of 830, 480, 57, 698 is 1
2. Where do I get the detailed procedure to find GCD of 830, 480, 57, 698?
You can find a detailed procedure to find GCD of 830, 480, 57, 698 on our page.
3. How to find GCD of 830, 480, 57, 698 on a calculator?
You can find the GCD of 830, 480, 57, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.