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 192, 427, 691, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 192, 427, 691, 508 is 1
GCD(192, 427, 691, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 192, 427, 691, 508 is 1
GCD(192, 427, 691, 508) = 1
Given Input numbers are 192, 427, 691, 508
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 192, 427, 691, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 427, 691, 508 is 1.
Therefore, GCD of numbers 192, 427, 691, 508 is 1
Given Input Data is 192, 427, 691, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 427 is 7 x 61
Prime Factorization of 691 is 691
Prime Factorization of 508 is 2 x 2 x 127
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(192, 427) = 81984
GCD(192, 427) = ( 192 x 427 ) / 81984
GCD(192, 427) = 81984 / 81984
GCD(192, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 192, 427, 691, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 192, 427, 691, 508?
GCD of 192, 427, 691, 508 is 1
2. Where do I get the detailed procedure to find GCD of 192, 427, 691, 508?
You can find a detailed procedure to find GCD of 192, 427, 691, 508 on our page.
3. How to find GCD of 192, 427, 691, 508 on a calculator?
You can find the GCD of 192, 427, 691, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.