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 353, 404, 314, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 404, 314, 972 is 1
GCD(353, 404, 314, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 404, 314, 972 is 1
GCD(353, 404, 314, 972) = 1
Given Input numbers are 353, 404, 314, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 353, 404, 314, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 404, 314, 972 is 1.
Therefore, GCD of numbers 353, 404, 314, 972 is 1
Given Input Data is 353, 404, 314, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 314 is 2 x 157
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(353, 404) = 142612
GCD(353, 404) = ( 353 x 404 ) / 142612
GCD(353, 404) = 142612 / 142612
GCD(353, 404) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 353, 404, 314, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 404, 314, 972?
GCD of 353, 404, 314, 972 is 1
2. Where do I get the detailed procedure to find GCD of 353, 404, 314, 972?
You can find a detailed procedure to find GCD of 353, 404, 314, 972 on our page.
3. How to find GCD of 353, 404, 314, 972 on a calculator?
You can find the GCD of 353, 404, 314, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.