Online GCD Calculator is useful to find the GCD of 567, 957, 393, 960 quickly. Get the easiest ways to solve the greatest common divisor of 567, 957, 393, 960 i.e 3 in different methods as follows.
Given Input numbers are 567, 957, 393, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (567, 957, 393, 960) = 3.
Given numbers are 567, 957, 393, 960
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 957 are 3 x 11 x 29
Prime factors of 393 are 3 x 131
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 567, 957, 393, 960 is 3.
Given numbers are 567, 957, 393, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 957) = 180873
GCD(567, 957) = ( 567 x 957 ) / 180873
= 567 / 957
= 567
Step2:
LCM(3, 393) = 393
GCD(3, 393) = ( 3 x 393 ) / 393
= 3 / 393
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 567, 957, 393, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 957, 393, 960
The greatest common divisor of numbers 567, 957, 393, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 957, 393, 960 is 3.
1. What is the GCD of 567, 957, 393, 960?
GCD of given numbers 567, 957, 393, 960 is 3
2. How to calculate the greatest common divisor of 567, 957, 393, 960?
We can find the highest common divisor of 567, 957, 393, 960 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 567, 957, 393, 960 i.e 3.
3. How can I use the GCD of 567, 957, 393, 960Calculator?
Out the numbers 567, 957, 393, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.