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, 416, 75, 557 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 416, 75, 557 is 1
GCD(343, 416, 75, 557) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 416, 75, 557 is 1
GCD(343, 416, 75, 557) = 1
Given Input numbers are 343, 416, 75, 557
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 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Greatest Common Divisior
We found the divisors of 343, 416, 75, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 416, 75, 557 is 1.
Therefore, GCD of numbers 343, 416, 75, 557 is 1
Given Input Data is 343, 416, 75, 557
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 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 557 is 557
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, 416) = 142688
GCD(343, 416) = ( 343 x 416 ) / 142688
GCD(343, 416) = 142688 / 142688
GCD(343, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 557
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 557) = 557
GCD(1, 557) = ( 1 x 557 ) / 557
GCD(1, 557) = 557 / 557
GCD(1, 557) = 1
GCD of 343, 416, 75, 557 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 416, 75, 557?
GCD of 343, 416, 75, 557 is 1
2. Where do I get the detailed procedure to find GCD of 343, 416, 75, 557?
You can find a detailed procedure to find GCD of 343, 416, 75, 557 on our page.
3. How to find GCD of 343, 416, 75, 557 on a calculator?
You can find the GCD of 343, 416, 75, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.