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, 290, 99, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 290, 99, 335 is 1
GCD(552, 290, 99, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 290, 99, 335 is 1
GCD(552, 290, 99, 335) = 1
Given Input numbers are 552, 290, 99, 335
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 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 552, 290, 99, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 290, 99, 335 is 1.
Therefore, GCD of numbers 552, 290, 99, 335 is 1
Given Input Data is 552, 290, 99, 335
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 290 is 2 x 5 x 29
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 335 is 5 x 67
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, 290) = 80040
GCD(552, 290) = ( 552 x 290 ) / 80040
GCD(552, 290) = 160080 / 80040
GCD(552, 290) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 552, 290, 99, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 290, 99, 335?
GCD of 552, 290, 99, 335 is 1
2. Where do I get the detailed procedure to find GCD of 552, 290, 99, 335?
You can find a detailed procedure to find GCD of 552, 290, 99, 335 on our page.
3. How to find GCD of 552, 290, 99, 335 on a calculator?
You can find the GCD of 552, 290, 99, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.