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 552, 345, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 345, 491 is 1
GCD(552, 345, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 345, 491 is 1
GCD(552, 345, 491) = 1
Given Input numbers are 552, 345, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 552, 345, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 345, 491 is 1.
Therefore, GCD of numbers 552, 345, 491 is 1
Given Input Data is 552, 345, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 491 is 491
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(552, 345) = 2760
GCD(552, 345) = ( 552 x 345 ) / 2760
GCD(552, 345) = 190440 / 2760
GCD(552, 345) = 69
Step2:
Here we consider the GCD from the above i.e. 69 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(69, 491) = 33879
GCD(69, 491) = ( 69 x 491 ) / 33879
GCD(69, 491) = 33879 / 33879
GCD(69, 491) = 1
GCD of 552, 345, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 345, 491?
GCD of 552, 345, 491 is 1
2. Where do I get the detailed procedure to find GCD of 552, 345, 491?
You can find a detailed procedure to find GCD of 552, 345, 491 on our page.
3. How to find GCD of 552, 345, 491 on a calculator?
You can find the GCD of 552, 345, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.