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 378, 203, 902, 554 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 203, 902, 554 is 1
GCD(378, 203, 902, 554) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 203, 902, 554 is 1
GCD(378, 203, 902, 554) = 1
Given Input numbers are 378, 203, 902, 554
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
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 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Greatest Common Divisior
We found the divisors of 378, 203, 902, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 203, 902, 554 is 1.
Therefore, GCD of numbers 378, 203, 902, 554 is 1
Given Input Data is 378, 203, 902, 554
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 203 is 7 x 29
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 554 is 2 x 277
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(378, 203) = 10962
GCD(378, 203) = ( 378 x 203 ) / 10962
GCD(378, 203) = 76734 / 10962
GCD(378, 203) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 902) = 6314
GCD(7, 902) = ( 7 x 902 ) / 6314
GCD(7, 902) = 6314 / 6314
GCD(7, 902) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 554) = 554
GCD(1, 554) = ( 1 x 554 ) / 554
GCD(1, 554) = 554 / 554
GCD(1, 554) = 1
GCD of 378, 203, 902, 554 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 203, 902, 554?
GCD of 378, 203, 902, 554 is 1
2. Where do I get the detailed procedure to find GCD of 378, 203, 902, 554?
You can find a detailed procedure to find GCD of 378, 203, 902, 554 on our page.
3. How to find GCD of 378, 203, 902, 554 on a calculator?
You can find the GCD of 378, 203, 902, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.