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 343, 668, 685, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 668, 685, 737 is 1
GCD(343, 668, 685, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 668, 685, 737 is 1
GCD(343, 668, 685, 737) = 1
Given Input numbers are 343, 668, 685, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 343, 668, 685, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 668, 685, 737 is 1.
Therefore, GCD of numbers 343, 668, 685, 737 is 1
Given Input Data is 343, 668, 685, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 685 is 5 x 137
Prime Factorization of 737 is 11 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(343, 668) = 229124
GCD(343, 668) = ( 343 x 668 ) / 229124
GCD(343, 668) = 229124 / 229124
GCD(343, 668) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 343, 668, 685, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 668, 685, 737?
GCD of 343, 668, 685, 737 is 1
2. Where do I get the detailed procedure to find GCD of 343, 668, 685, 737?
You can find a detailed procedure to find GCD of 343, 668, 685, 737 on our page.
3. How to find GCD of 343, 668, 685, 737 on a calculator?
You can find the GCD of 343, 668, 685, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.