Online GCD Calculator is useful to find the GCD of 513, 960, 89, 672 quickly. Get the easiest ways to solve the greatest common divisor of 513, 960, 89, 672 i.e 1 in different methods as follows.
Given Input numbers are 513, 960, 89, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
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 89 :
The positive integer divisors of 89 that completely divides 89 are.
1, 89
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (513, 960, 89, 672) = 1.
Given numbers are 513, 960, 89, 672
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 89 are 89
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 960, 89, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 960) = 164160
GCD(513, 960) = ( 513 x 960 ) / 164160
= 513 / 960
= 513
Step2:
LCM(3, 89) = 267
GCD(3, 89) = ( 3 x 89 ) / 267
= 3 / 89
= 3
Step3:
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
= 1 / 672
= 1
So, Greatest Common Divisor of 513, 960, 89, 672 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 960, 89, 672
The greatest common divisor of numbers 513, 960, 89, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 960, 89, 672 is 1.
1. What is the GCD of 513, 960, 89, 672?
GCD of given numbers 513, 960, 89, 672 is 1
2. How to calculate the greatest common divisor of 513, 960, 89, 672?
We can find the highest common divisor of 513, 960, 89, 672 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 513, 960, 89, 672 i.e 1.
3. How can I use the GCD of 513, 960, 89, 672Calculator?
Out the numbers 513, 960, 89, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.