Online GCD Calculator is useful to find the GCD of 513, 360, 944, 782 quickly. Get the easiest ways to solve the greatest common divisor of 513, 360, 944, 782 i.e 1 in different methods as follows.
Given Input numbers are 513, 360, 944, 782
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (513, 360, 944, 782) = 1.
Given numbers are 513, 360, 944, 782
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 360, 944, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 360) = 20520
GCD(513, 360) = ( 513 x 360 ) / 20520
= 513 / 360
= 513
Step2:
LCM(9, 944) = 8496
GCD(9, 944) = ( 9 x 944 ) / 8496
= 9 / 944
= 9
Step3:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
So, Greatest Common Divisor of 513, 360, 944, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 360, 944, 782
The greatest common divisor of numbers 513, 360, 944, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 360, 944, 782 is 1.
1. What is the GCD of 513, 360, 944, 782?
GCD of given numbers 513, 360, 944, 782 is 1
2. How to calculate the greatest common divisor of 513, 360, 944, 782?
We can find the highest common divisor of 513, 360, 944, 782 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, 360, 944, 782 i.e 1.
3. How can I use the GCD of 513, 360, 944, 782Calculator?
Out the numbers 513, 360, 944, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.