Online GCD Calculator is useful to find the GCD of 498, 517, 360, 336 quickly. Get the easiest ways to solve the greatest common divisor of 498, 517, 360, 336 i.e 1 in different methods as follows.
Given Input numbers are 498, 517, 360, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
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 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (498, 517, 360, 336) = 1.
Given numbers are 498, 517, 360, 336
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 517 are 11 x 47
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 336 are 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 498, 517, 360, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 517) = 257466
GCD(498, 517) = ( 498 x 517 ) / 257466
= 498 / 517
= 498
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
So, Greatest Common Divisor of 498, 517, 360, 336 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 517, 360, 336
The greatest common divisor of numbers 498, 517, 360, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 517, 360, 336 is 1.
1. What is the GCD of 498, 517, 360, 336?
GCD of given numbers 498, 517, 360, 336 is 1
2. How to calculate the greatest common divisor of 498, 517, 360, 336?
We can find the highest common divisor of 498, 517, 360, 336 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 498, 517, 360, 336 i.e 1.
3. How can I use the GCD of 498, 517, 360, 336Calculator?
Out the numbers 498, 517, 360, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.