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 902, 555, 119, 354 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 555, 119, 354 is 1
GCD(902, 555, 119, 354) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 555, 119, 354 is 1
GCD(902, 555, 119, 354) = 1
Given Input numbers are 902, 555, 119, 354
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Greatest Common Divisior
We found the divisors of 902, 555, 119, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 555, 119, 354 is 1.
Therefore, GCD of numbers 902, 555, 119, 354 is 1
Given Input Data is 902, 555, 119, 354
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 119 is 7 x 17
Prime Factorization of 354 is 2 x 3 x 59
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(902, 555) = 500610
GCD(902, 555) = ( 902 x 555 ) / 500610
GCD(902, 555) = 500610 / 500610
GCD(902, 555) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
GCD of 902, 555, 119, 354 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 902, 555, 119, 354?
GCD of 902, 555, 119, 354 is 1
2. Where do I get the detailed procedure to find GCD of 902, 555, 119, 354?
You can find a detailed procedure to find GCD of 902, 555, 119, 354 on our page.
3. How to find GCD of 902, 555, 119, 354 on a calculator?
You can find the GCD of 902, 555, 119, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.