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 693, 354, 802, 830 i.e. 1 largest integer that divides all the numbers equally.
GCD of 693, 354, 802, 830 is 1
GCD(693, 354, 802, 830) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 693, 354, 802, 830 is 1
GCD(693, 354, 802, 830) = 1
Given Input numbers are 693, 354, 802, 830
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Greatest Common Divisior
We found the divisors of 693, 354, 802, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 354, 802, 830 is 1.
Therefore, GCD of numbers 693, 354, 802, 830 is 1
Given Input Data is 693, 354, 802, 830
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 802 is 2 x 401
Prime Factorization of 830 is 2 x 5 x 83
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(693, 354) = 81774
GCD(693, 354) = ( 693 x 354 ) / 81774
GCD(693, 354) = 245322 / 81774
GCD(693, 354) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 802) = 2406
GCD(3, 802) = ( 3 x 802 ) / 2406
GCD(3, 802) = 2406 / 2406
GCD(3, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 830
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 830) = 830
GCD(1, 830) = ( 1 x 830 ) / 830
GCD(1, 830) = 830 / 830
GCD(1, 830) = 1
GCD of 693, 354, 802, 830 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 693, 354, 802, 830?
GCD of 693, 354, 802, 830 is 1
2. Where do I get the detailed procedure to find GCD of 693, 354, 802, 830?
You can find a detailed procedure to find GCD of 693, 354, 802, 830 on our page.
3. How to find GCD of 693, 354, 802, 830 on a calculator?
You can find the GCD of 693, 354, 802, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.