Online GCD Calculator is useful to find the GCD of 960, 633, 513, 612 quickly. Get the easiest ways to solve the greatest common divisor of 960, 633, 513, 612 i.e 3 in different methods as follows.
Given Input numbers are 960, 633, 513, 612
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (960, 633, 513, 612) = 3.
Given numbers are 960, 633, 513, 612
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 633 are 3 x 211
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 960, 633, 513, 612 is 3.
Given numbers are 960, 633, 513, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 633) = 202560
GCD(960, 633) = ( 960 x 633 ) / 202560
= 960 / 633
= 960
Step2:
LCM(3, 513) = 513
GCD(3, 513) = ( 3 x 513 ) / 513
= 3 / 513
= 3
Step3:
LCM(3, 612) = 612
GCD(3, 612) = ( 3 x 612 ) / 612
= 3 / 612
= 3
So, Greatest Common Divisor of 960, 633, 513, 612 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 633, 513, 612
The greatest common divisor of numbers 960, 633, 513, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 633, 513, 612 is 3.
1. What is the GCD of 960, 633, 513, 612?
GCD of given numbers 960, 633, 513, 612 is 3
2. How to calculate the greatest common divisor of 960, 633, 513, 612?
We can find the highest common divisor of 960, 633, 513, 612 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 960, 633, 513, 612 i.e 3.
3. How can I use the GCD of 960, 633, 513, 612Calculator?
Out the numbers 960, 633, 513, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.