Online GCD Calculator is useful to find the GCD of 564, 717, 258, 771 quickly. Get the easiest ways to solve the greatest common divisor of 564, 717, 258, 771 i.e 3 in different methods as follows.
Given Input numbers are 564, 717, 258, 771
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 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
Divisors of 258 :
The positive integer divisors of 258 that completely divides 258 are.
1, 2, 3, 6, 43, 86, 129, 258
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
GCD of numbers is the greatest common divisor
So, the GCD (564, 717, 258, 771) = 3.
Given numbers are 564, 717, 258, 771
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 717 are 3 x 239
Prime factors of 258 are 2 x 3 x 43
Prime factors of 771 are 3 x 257
The highest common occurrence is 31
Therefore, GCD of 564, 717, 258, 771 is 3.
Given numbers are 564, 717, 258, 771
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 717) = 134796
GCD(564, 717) = ( 564 x 717 ) / 134796
= 564 / 717
= 564
Step2:
LCM(3, 258) = 258
GCD(3, 258) = ( 3 x 258 ) / 258
= 3 / 258
= 3
Step3:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
So, Greatest Common Divisor of 564, 717, 258, 771 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 564, 717, 258, 771
The greatest common divisor of numbers 564, 717, 258, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 717, 258, 771 is 3.
1. What is the GCD of 564, 717, 258, 771?
GCD of given numbers 564, 717, 258, 771 is 3
2. How to calculate the greatest common divisor of 564, 717, 258, 771?
We can find the highest common divisor of 564, 717, 258, 771 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, 717, 258, 771 i.e 3.
3. How can I use the GCD of 564, 717, 258, 771Calculator?
Out the numbers 564, 717, 258, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.