Online GCD Calculator is useful to find the GCD of 657, 564, 343 quickly. Get the easiest ways to solve the greatest common divisor of 657, 564, 343 i.e 1 in different methods as follows.
Given Input numbers are 657, 564, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (657, 564, 343) = 1.
Given numbers are 657, 564, 343
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 657, 564, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 564) = 123516
GCD(657, 564) = ( 657 x 564 ) / 123516
= 657 / 564
= 657
Step2:
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
= 3 / 343
= 3
So, Greatest Common Divisor of 657, 564, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 564, 343
The greatest common divisor of numbers 657, 564, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 564, 343 is 1.
1. What is the GCD of 657, 564, 343?
GCD of given numbers 657, 564, 343 is 1
2. How to calculate the greatest common divisor of 657, 564, 343?
We can find the highest common divisor of 657, 564, 343 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 657, 564, 343 i.e 1.
3. How can I use the GCD of 657, 564, 343Calculator?
Out the numbers 657, 564, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.