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 54, 256, 197, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 256, 197, 142 is 1
GCD(54, 256, 197, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 256, 197, 142 is 1
GCD(54, 256, 197, 142) = 1
Given Input numbers are 54, 256, 197, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 54, 256, 197, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 256, 197, 142 is 1.
Therefore, GCD of numbers 54, 256, 197, 142 is 1
Given Input Data is 54, 256, 197, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 197 is 197
Prime Factorization of 142 is 2 x 71
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(54, 256) = 6912
GCD(54, 256) = ( 54 x 256 ) / 6912
GCD(54, 256) = 13824 / 6912
GCD(54, 256) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 197) = 394
GCD(2, 197) = ( 2 x 197 ) / 394
GCD(2, 197) = 394 / 394
GCD(2, 197) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 54, 256, 197, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 256, 197, 142?
GCD of 54, 256, 197, 142 is 1
2. Where do I get the detailed procedure to find GCD of 54, 256, 197, 142?
You can find a detailed procedure to find GCD of 54, 256, 197, 142 on our page.
3. How to find GCD of 54, 256, 197, 142 on a calculator?
You can find the GCD of 54, 256, 197, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.