Online GCD Calculator is useful to find the GCD of 343, 677, 574, 728 quickly. Get the easiest ways to solve the greatest common divisor of 343, 677, 574, 728 i.e 1 in different methods as follows.
Given Input numbers are 343, 677, 574, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (343, 677, 574, 728) = 1.
Given numbers are 343, 677, 574, 728
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 677 are 677
Prime factors of 574 are 2 x 7 x 41
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 677, 574, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 677) = 232211
GCD(343, 677) = ( 343 x 677 ) / 232211
= 343 / 677
= 343
Step2:
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
= 1 / 574
= 1
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 343, 677, 574, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 677, 574, 728
The greatest common divisor of numbers 343, 677, 574, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 677, 574, 728 is 1.
1. What is the GCD of 343, 677, 574, 728?
GCD of given numbers 343, 677, 574, 728 is 1
2. How to calculate the greatest common divisor of 343, 677, 574, 728?
We can find the highest common divisor of 343, 677, 574, 728 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 343, 677, 574, 728 i.e 1.
3. How can I use the GCD of 343, 677, 574, 728Calculator?
Out the numbers 343, 677, 574, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.