Online GCD Calculator is useful to find the GCD of 498, 580, 901, 309 quickly. Get the easiest ways to solve the greatest common divisor of 498, 580, 901, 309 i.e 1 in different methods as follows.
Given Input numbers are 498, 580, 901, 309
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 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (498, 580, 901, 309) = 1.
Given numbers are 498, 580, 901, 309
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 901 are 17 x 53
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 580, 901, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 580) = 144420
GCD(498, 580) = ( 498 x 580 ) / 144420
= 498 / 580
= 498
Step2:
LCM(2, 901) = 1802
GCD(2, 901) = ( 2 x 901 ) / 1802
= 2 / 901
= 2
Step3:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
So, Greatest Common Divisor of 498, 580, 901, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 580, 901, 309
The greatest common divisor of numbers 498, 580, 901, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 580, 901, 309 is 1.
1. What is the GCD of 498, 580, 901, 309?
GCD of given numbers 498, 580, 901, 309 is 1
2. How to calculate the greatest common divisor of 498, 580, 901, 309?
We can find the highest common divisor of 498, 580, 901, 309 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, 580, 901, 309 i.e 1.
3. How can I use the GCD of 498, 580, 901, 309Calculator?
Out the numbers 498, 580, 901, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.