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 373, 120, 692, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 373, 120, 692, 335 is 1
GCD(373, 120, 692, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 373, 120, 692, 335 is 1
GCD(373, 120, 692, 335) = 1
Given Input numbers are 373, 120, 692, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 373, 120, 692, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 373, 120, 692, 335 is 1.
Therefore, GCD of numbers 373, 120, 692, 335 is 1
Given Input Data is 373, 120, 692, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 373 is 373
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 335 is 5 x 67
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(373, 120) = 44760
GCD(373, 120) = ( 373 x 120 ) / 44760
GCD(373, 120) = 44760 / 44760
GCD(373, 120) = 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 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 373, 120, 692, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 373, 120, 692, 335?
GCD of 373, 120, 692, 335 is 1
2. Where do I get the detailed procedure to find GCD of 373, 120, 692, 335?
You can find a detailed procedure to find GCD of 373, 120, 692, 335 on our page.
3. How to find GCD of 373, 120, 692, 335 on a calculator?
You can find the GCD of 373, 120, 692, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.