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, 685, 205, 795 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 685, 205, 795 is 1
GCD(548, 685, 205, 795) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 685, 205, 795 is 1
GCD(548, 685, 205, 795) = 1
Given Input numbers are 548, 685, 205, 795
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 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Greatest Common Divisior
We found the divisors of 548, 685, 205, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 685, 205, 795 is 1.
Therefore, GCD of numbers 548, 685, 205, 795 is 1
Given Input Data is 548, 685, 205, 795
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 685 is 5 x 137
Prime Factorization of 205 is 5 x 41
Prime Factorization of 795 is 3 x 5 x 53
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, 685) = 2740
GCD(548, 685) = ( 548 x 685 ) / 2740
GCD(548, 685) = 375380 / 2740
GCD(548, 685) = 137
Step2:
Here we consider the GCD from the above i.e. 137 as first number and the next as 205
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(137, 205) = 28085
GCD(137, 205) = ( 137 x 205 ) / 28085
GCD(137, 205) = 28085 / 28085
GCD(137, 205) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 795
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 795) = 795
GCD(1, 795) = ( 1 x 795 ) / 795
GCD(1, 795) = 795 / 795
GCD(1, 795) = 1
GCD of 548, 685, 205, 795 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 685, 205, 795?
GCD of 548, 685, 205, 795 is 1
2. Where do I get the detailed procedure to find GCD of 548, 685, 205, 795?
You can find a detailed procedure to find GCD of 548, 685, 205, 795 on our page.
3. How to find GCD of 548, 685, 205, 795 on a calculator?
You can find the GCD of 548, 685, 205, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.