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 38, 335, 692, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 335, 692, 119 is 1
GCD(38, 335, 692, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 335, 692, 119 is 1
GCD(38, 335, 692, 119) = 1
Given Input numbers are 38, 335, 692, 119
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 38, 335, 692, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 335, 692, 119 is 1.
Therefore, GCD of numbers 38, 335, 692, 119 is 1
Given Input Data is 38, 335, 692, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 335 is 5 x 67
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 119 is 7 x 17
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(38, 335) = 12730
GCD(38, 335) = ( 38 x 335 ) / 12730
GCD(38, 335) = 12730 / 12730
GCD(38, 335) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 38, 335, 692, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 335, 692, 119?
GCD of 38, 335, 692, 119 is 1
2. Where do I get the detailed procedure to find GCD of 38, 335, 692, 119?
You can find a detailed procedure to find GCD of 38, 335, 692, 119 on our page.
3. How to find GCD of 38, 335, 692, 119 on a calculator?
You can find the GCD of 38, 335, 692, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.