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 544, 390, 77, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 544, 390, 77, 182 is 1
GCD(544, 390, 77, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 544, 390, 77, 182 is 1
GCD(544, 390, 77, 182) = 1
Given Input numbers are 544, 390, 77, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 544
List of positive integer divisors of 544 that divides 544 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
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 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 544, 390, 77, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 390, 77, 182 is 1.
Therefore, GCD of numbers 544, 390, 77, 182 is 1
Given Input Data is 544, 390, 77, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 77 is 7 x 11
Prime Factorization of 182 is 2 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(544, 390) = 106080
GCD(544, 390) = ( 544 x 390 ) / 106080
GCD(544, 390) = 212160 / 106080
GCD(544, 390) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
GCD of 544, 390, 77, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 544, 390, 77, 182?
GCD of 544, 390, 77, 182 is 1
2. Where do I get the detailed procedure to find GCD of 544, 390, 77, 182?
You can find a detailed procedure to find GCD of 544, 390, 77, 182 on our page.
3. How to find GCD of 544, 390, 77, 182 on a calculator?
You can find the GCD of 544, 390, 77, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.