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 694, 343, 44, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 694, 343, 44, 550 is 1
GCD(694, 343, 44, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 694, 343, 44, 550 is 1
GCD(694, 343, 44, 550) = 1
Given Input numbers are 694, 343, 44, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 694, 343, 44, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 343, 44, 550 is 1.
Therefore, GCD of numbers 694, 343, 44, 550 is 1
Given Input Data is 694, 343, 44, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 694 is 2 x 347
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(694, 343) = 238042
GCD(694, 343) = ( 694 x 343 ) / 238042
GCD(694, 343) = 238042 / 238042
GCD(694, 343) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 694, 343, 44, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 694, 343, 44, 550?
GCD of 694, 343, 44, 550 is 1
2. Where do I get the detailed procedure to find GCD of 694, 343, 44, 550?
You can find a detailed procedure to find GCD of 694, 343, 44, 550 on our page.
3. How to find GCD of 694, 343, 44, 550 on a calculator?
You can find the GCD of 694, 343, 44, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.