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 357, 532, 30, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 532, 30, 797 is 1
GCD(357, 532, 30, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 532, 30, 797 is 1
GCD(357, 532, 30, 797) = 1
Given Input numbers are 357, 532, 30, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 357, 532, 30, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 532, 30, 797 is 1.
Therefore, GCD of numbers 357, 532, 30, 797 is 1
Given Input Data is 357, 532, 30, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 797 is 797
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(357, 532) = 27132
GCD(357, 532) = ( 357 x 532 ) / 27132
GCD(357, 532) = 189924 / 27132
GCD(357, 532) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 30) = 210
GCD(7, 30) = ( 7 x 30 ) / 210
GCD(7, 30) = 210 / 210
GCD(7, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 357, 532, 30, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 532, 30, 797?
GCD of 357, 532, 30, 797 is 1
2. Where do I get the detailed procedure to find GCD of 357, 532, 30, 797?
You can find a detailed procedure to find GCD of 357, 532, 30, 797 on our page.
3. How to find GCD of 357, 532, 30, 797 on a calculator?
You can find the GCD of 357, 532, 30, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.