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 548, 545, 27, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 545, 27, 950 is 1
GCD(548, 545, 27, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 545, 27, 950 is 1
GCD(548, 545, 27, 950) = 1
Given Input numbers are 548, 545, 27, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 548, 545, 27, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 545, 27, 950 is 1.
Therefore, GCD of numbers 548, 545, 27, 950 is 1
Given Input Data is 548, 545, 27, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 545 is 5 x 109
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(548, 545) = 298660
GCD(548, 545) = ( 548 x 545 ) / 298660
GCD(548, 545) = 298660 / 298660
GCD(548, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 548, 545, 27, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 545, 27, 950?
GCD of 548, 545, 27, 950 is 1
2. Where do I get the detailed procedure to find GCD of 548, 545, 27, 950?
You can find a detailed procedure to find GCD of 548, 545, 27, 950 on our page.
3. How to find GCD of 548, 545, 27, 950 on a calculator?
You can find the GCD of 548, 545, 27, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.