Online GCD Calculator is useful to find the GCD of 513, 210, 145, 916 quickly. Get the easiest ways to solve the greatest common divisor of 513, 210, 145, 916 i.e 1 in different methods as follows.
Given Input numbers are 513, 210, 145, 916
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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (513, 210, 145, 916) = 1.
Given numbers are 513, 210, 145, 916
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 145 are 5 x 29
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 210, 145, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 210) = 35910
GCD(513, 210) = ( 513 x 210 ) / 35910
= 513 / 210
= 513
Step2:
LCM(3, 145) = 435
GCD(3, 145) = ( 3 x 145 ) / 435
= 3 / 145
= 3
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 513, 210, 145, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 210, 145, 916
The greatest common divisor of numbers 513, 210, 145, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 210, 145, 916 is 1.
1. What is the GCD of 513, 210, 145, 916?
GCD of given numbers 513, 210, 145, 916 is 1
2. How to calculate the greatest common divisor of 513, 210, 145, 916?
We can find the highest common divisor of 513, 210, 145, 916 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, 210, 145, 916 i.e 1.
3. How can I use the GCD of 513, 210, 145, 916Calculator?
Out the numbers 513, 210, 145, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.