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, 396, 221, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 548, 396, 221, 434 is 1
GCD(548, 396, 221, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 548, 396, 221, 434 is 1
GCD(548, 396, 221, 434) = 1
Given Input numbers are 548, 396, 221, 434
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 548, 396, 221, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 396, 221, 434 is 1.
Therefore, GCD of numbers 548, 396, 221, 434 is 1
Given Input Data is 548, 396, 221, 434
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 221 is 13 x 17
Prime Factorization of 434 is 2 x 7 x 31
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, 396) = 54252
GCD(548, 396) = ( 548 x 396 ) / 54252
GCD(548, 396) = 217008 / 54252
GCD(548, 396) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 221) = 884
GCD(4, 221) = ( 4 x 221 ) / 884
GCD(4, 221) = 884 / 884
GCD(4, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 548, 396, 221, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 548, 396, 221, 434?
GCD of 548, 396, 221, 434 is 1
2. Where do I get the detailed procedure to find GCD of 548, 396, 221, 434?
You can find a detailed procedure to find GCD of 548, 396, 221, 434 on our page.
3. How to find GCD of 548, 396, 221, 434 on a calculator?
You can find the GCD of 548, 396, 221, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.