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 553, 457, 12, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 457, 12, 351 is 1
GCD(553, 457, 12, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 457, 12, 351 is 1
GCD(553, 457, 12, 351) = 1
Given Input numbers are 553, 457, 12, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 553, 457, 12, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 457, 12, 351 is 1.
Therefore, GCD of numbers 553, 457, 12, 351 is 1
Given Input Data is 553, 457, 12, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 457 is 457
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(553, 457) = 252721
GCD(553, 457) = ( 553 x 457 ) / 252721
GCD(553, 457) = 252721 / 252721
GCD(553, 457) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 553, 457, 12, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 457, 12, 351?
GCD of 553, 457, 12, 351 is 1
2. Where do I get the detailed procedure to find GCD of 553, 457, 12, 351?
You can find a detailed procedure to find GCD of 553, 457, 12, 351 on our page.
3. How to find GCD of 553, 457, 12, 351 on a calculator?
You can find the GCD of 553, 457, 12, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.