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, 545, 54, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 545, 54, 487 is 1
GCD(378, 545, 54, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 545, 54, 487 is 1
GCD(378, 545, 54, 487) = 1
Given Input numbers are 378, 545, 54, 487
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 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 378, 545, 54, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 545, 54, 487 is 1.
Therefore, GCD of numbers 378, 545, 54, 487 is 1
Given Input Data is 378, 545, 54, 487
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 545 is 5 x 109
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 487 is 487
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, 545) = 206010
GCD(378, 545) = ( 378 x 545 ) / 206010
GCD(378, 545) = 206010 / 206010
GCD(378, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
GCD of 378, 545, 54, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 545, 54, 487?
GCD of 378, 545, 54, 487 is 1
2. Where do I get the detailed procedure to find GCD of 378, 545, 54, 487?
You can find a detailed procedure to find GCD of 378, 545, 54, 487 on our page.
3. How to find GCD of 378, 545, 54, 487 on a calculator?
You can find the GCD of 378, 545, 54, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.