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 692, 391, 171, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 391, 171, 336 is 1
GCD(692, 391, 171, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 391, 171, 336 is 1
GCD(692, 391, 171, 336) = 1
Given Input numbers are 692, 391, 171, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 692, 391, 171, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 391, 171, 336 is 1.
Therefore, GCD of numbers 692, 391, 171, 336 is 1
Given Input Data is 692, 391, 171, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 391 is 17 x 23
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(692, 391) = 270572
GCD(692, 391) = ( 692 x 391 ) / 270572
GCD(692, 391) = 270572 / 270572
GCD(692, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 692, 391, 171, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 391, 171, 336?
GCD of 692, 391, 171, 336 is 1
2. Where do I get the detailed procedure to find GCD of 692, 391, 171, 336?
You can find a detailed procedure to find GCD of 692, 391, 171, 336 on our page.
3. How to find GCD of 692, 391, 171, 336 on a calculator?
You can find the GCD of 692, 391, 171, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.