Online GCD Calculator is useful to find the GCD of 564, 741, 664, 513 quickly. Get the easiest ways to solve the greatest common divisor of 564, 741, 664, 513 i.e 1 in different methods as follows.
Given Input numbers are 564, 741, 664, 513
In the factoring method, we have to find the divisors of all numbers
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 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
GCD of numbers is the greatest common divisor
So, the GCD (564, 741, 664, 513) = 1.
Given numbers are 564, 741, 664, 513
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 741 are 3 x 13 x 19
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 513 are 3 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 564, 741, 664, 513
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 741) = 139308
GCD(564, 741) = ( 564 x 741 ) / 139308
= 564 / 741
= 564
Step2:
LCM(3, 664) = 1992
GCD(3, 664) = ( 3 x 664 ) / 1992
= 3 / 664
= 3
Step3:
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
= 1 / 513
= 1
So, Greatest Common Divisor of 564, 741, 664, 513 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 741, 664, 513
The greatest common divisor of numbers 564, 741, 664, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 741, 664, 513 is 1.
1. What is the GCD of 564, 741, 664, 513?
GCD of given numbers 564, 741, 664, 513 is 1
2. How to calculate the greatest common divisor of 564, 741, 664, 513?
We can find the highest common divisor of 564, 741, 664, 513 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 564, 741, 664, 513 i.e 1.
3. How can I use the GCD of 564, 741, 664, 513Calculator?
Out the numbers 564, 741, 664, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.