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 914, 197, 138, 512 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 197, 138, 512 is 1
GCD(914, 197, 138, 512) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 197, 138, 512 is 1
GCD(914, 197, 138, 512) = 1
Given Input numbers are 914, 197, 138, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 914, 197, 138, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 197, 138, 512 is 1.
Therefore, GCD of numbers 914, 197, 138, 512 is 1
Given Input Data is 914, 197, 138, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 197 is 197
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(914, 197) = 180058
GCD(914, 197) = ( 914 x 197 ) / 180058
GCD(914, 197) = 180058 / 180058
GCD(914, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
GCD of 914, 197, 138, 512 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 197, 138, 512?
GCD of 914, 197, 138, 512 is 1
2. Where do I get the detailed procedure to find GCD of 914, 197, 138, 512?
You can find a detailed procedure to find GCD of 914, 197, 138, 512 on our page.
3. How to find GCD of 914, 197, 138, 512 on a calculator?
You can find the GCD of 914, 197, 138, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.