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 686, 379, 24, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 379, 24, 175 is 1
GCD(686, 379, 24, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 379, 24, 175 is 1
GCD(686, 379, 24, 175) = 1
Given Input numbers are 686, 379, 24, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 686, 379, 24, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 379, 24, 175 is 1.
Therefore, GCD of numbers 686, 379, 24, 175 is 1
Given Input Data is 686, 379, 24, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 379 is 379
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 175 is 5 x 5 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(686, 379) = 259994
GCD(686, 379) = ( 686 x 379 ) / 259994
GCD(686, 379) = 259994 / 259994
GCD(686, 379) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 686, 379, 24, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 379, 24, 175?
GCD of 686, 379, 24, 175 is 1
2. Where do I get the detailed procedure to find GCD of 686, 379, 24, 175?
You can find a detailed procedure to find GCD of 686, 379, 24, 175 on our page.
3. How to find GCD of 686, 379, 24, 175 on a calculator?
You can find the GCD of 686, 379, 24, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.