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, 374, 304, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 686, 374, 304, 537 is 1
GCD(686, 374, 304, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 686, 374, 304, 537 is 1
GCD(686, 374, 304, 537) = 1
Given Input numbers are 686, 374, 304, 537
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 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 686, 374, 304, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 374, 304, 537 is 1.
Therefore, GCD of numbers 686, 374, 304, 537 is 1
Given Input Data is 686, 374, 304, 537
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 374 is 2 x 11 x 17
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 537 is 3 x 179
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, 374) = 128282
GCD(686, 374) = ( 686 x 374 ) / 128282
GCD(686, 374) = 256564 / 128282
GCD(686, 374) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
GCD(2, 304) = 608 / 304
GCD(2, 304) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 537) = 1074
GCD(2, 537) = ( 2 x 537 ) / 1074
GCD(2, 537) = 1074 / 1074
GCD(2, 537) = 1
GCD of 686, 374, 304, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 686, 374, 304, 537?
GCD of 686, 374, 304, 537 is 1
2. Where do I get the detailed procedure to find GCD of 686, 374, 304, 537?
You can find a detailed procedure to find GCD of 686, 374, 304, 537 on our page.
3. How to find GCD of 686, 374, 304, 537 on a calculator?
You can find the GCD of 686, 374, 304, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.