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 168, 343, 860, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 343, 860, 649 is 1
GCD(168, 343, 860, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 343, 860, 649 is 1
GCD(168, 343, 860, 649) = 1
Given Input numbers are 168, 343, 860, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 168, 343, 860, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 343, 860, 649 is 1.
Therefore, GCD of numbers 168, 343, 860, 649 is 1
Given Input Data is 168, 343, 860, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 649 is 11 x 59
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(168, 343) = 8232
GCD(168, 343) = ( 168 x 343 ) / 8232
GCD(168, 343) = 57624 / 8232
GCD(168, 343) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 860) = 6020
GCD(7, 860) = ( 7 x 860 ) / 6020
GCD(7, 860) = 6020 / 6020
GCD(7, 860) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 168, 343, 860, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 343, 860, 649?
GCD of 168, 343, 860, 649 is 1
2. Where do I get the detailed procedure to find GCD of 168, 343, 860, 649?
You can find a detailed procedure to find GCD of 168, 343, 860, 649 on our page.
3. How to find GCD of 168, 343, 860, 649 on a calculator?
You can find the GCD of 168, 343, 860, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.