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 390, 628, 45, 546 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 628, 45, 546 is 1
GCD(390, 628, 45, 546) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 628, 45, 546 is 1
GCD(390, 628, 45, 546) = 1
Given Input numbers are 390, 628, 45, 546
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Greatest Common Divisior
We found the divisors of 390, 628, 45, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 628, 45, 546 is 1.
Therefore, GCD of numbers 390, 628, 45, 546 is 1
Given Input Data is 390, 628, 45, 546
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 546 is 2 x 3 x 7 x 13
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(390, 628) = 122460
GCD(390, 628) = ( 390 x 628 ) / 122460
GCD(390, 628) = 244920 / 122460
GCD(390, 628) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 546) = 546
GCD(1, 546) = ( 1 x 546 ) / 546
GCD(1, 546) = 546 / 546
GCD(1, 546) = 1
GCD of 390, 628, 45, 546 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 628, 45, 546?
GCD of 390, 628, 45, 546 is 1
2. Where do I get the detailed procedure to find GCD of 390, 628, 45, 546?
You can find a detailed procedure to find GCD of 390, 628, 45, 546 on our page.
3. How to find GCD of 390, 628, 45, 546 on a calculator?
You can find the GCD of 390, 628, 45, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.