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, 314, 18, 479 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 314, 18, 479 is 1
GCD(552, 314, 18, 479) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 314, 18, 479 is 1
GCD(552, 314, 18, 479) = 1
Given Input numbers are 552, 314, 18, 479
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 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Greatest Common Divisior
We found the divisors of 552, 314, 18, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 314, 18, 479 is 1.
Therefore, GCD of numbers 552, 314, 18, 479 is 1
Given Input Data is 552, 314, 18, 479
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 314 is 2 x 157
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 479 is 479
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, 314) = 86664
GCD(552, 314) = ( 552 x 314 ) / 86664
GCD(552, 314) = 173328 / 86664
GCD(552, 314) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 479) = 958
GCD(2, 479) = ( 2 x 479 ) / 958
GCD(2, 479) = 958 / 958
GCD(2, 479) = 1
GCD of 552, 314, 18, 479 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 314, 18, 479?
GCD of 552, 314, 18, 479 is 1
2. Where do I get the detailed procedure to find GCD of 552, 314, 18, 479?
You can find a detailed procedure to find GCD of 552, 314, 18, 479 on our page.
3. How to find GCD of 552, 314, 18, 479 on a calculator?
You can find the GCD of 552, 314, 18, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.