Online GCD Calculator is useful to find the GCD of 705, 489, 945, 960 quickly. Get the easiest ways to solve the greatest common divisor of 705, 489, 945, 960 i.e 3 in different methods as follows.
Given Input numbers are 705, 489, 945, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
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 (705, 489, 945, 960) = 3.
Given numbers are 705, 489, 945, 960
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 489 are 3 x 163
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
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 705, 489, 945, 960 is 3.
Given numbers are 705, 489, 945, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 489) = 114915
GCD(705, 489) = ( 705 x 489 ) / 114915
= 705 / 489
= 705
Step2:
LCM(3, 945) = 945
GCD(3, 945) = ( 3 x 945 ) / 945
= 3 / 945
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 705, 489, 945, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 489, 945, 960
The greatest common divisor of numbers 705, 489, 945, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 489, 945, 960 is 3.
1. What is the GCD of 705, 489, 945, 960?
GCD of given numbers 705, 489, 945, 960 is 3
2. How to calculate the greatest common divisor of 705, 489, 945, 960?
We can find the highest common divisor of 705, 489, 945, 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 705, 489, 945, 960 i.e 3.
3. How can I use the GCD of 705, 489, 945, 960Calculator?
Out the numbers 705, 489, 945, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.