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, 641, 289, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 641, 289, 156 is 1
GCD(343, 641, 289, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 641, 289, 156 is 1
GCD(343, 641, 289, 156) = 1
Given Input numbers are 343, 641, 289, 156
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 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 343, 641, 289, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 641, 289, 156 is 1.
Therefore, GCD of numbers 343, 641, 289, 156 is 1
Given Input Data is 343, 641, 289, 156
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 641 is 641
Prime Factorization of 289 is 17 x 17
Prime Factorization of 156 is 2 x 2 x 3 x 13
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, 641) = 219863
GCD(343, 641) = ( 343 x 641 ) / 219863
GCD(343, 641) = 219863 / 219863
GCD(343, 641) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 343, 641, 289, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 641, 289, 156?
GCD of 343, 641, 289, 156 is 1
2. Where do I get the detailed procedure to find GCD of 343, 641, 289, 156?
You can find a detailed procedure to find GCD of 343, 641, 289, 156 on our page.
3. How to find GCD of 343, 641, 289, 156 on a calculator?
You can find the GCD of 343, 641, 289, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.