Online GCD Calculator is useful to find the GCD of 498, 424, 237, 684 quickly. Get the easiest ways to solve the greatest common divisor of 498, 424, 237, 684 i.e 1 in different methods as follows.
Given Input numbers are 498, 424, 237, 684
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 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (498, 424, 237, 684) = 1.
Given numbers are 498, 424, 237, 684
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 237 are 3 x 79
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 424, 237, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 424) = 105576
GCD(498, 424) = ( 498 x 424 ) / 105576
= 498 / 424
= 498
Step2:
LCM(2, 237) = 474
GCD(2, 237) = ( 2 x 237 ) / 474
= 2 / 237
= 2
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 498, 424, 237, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 424, 237, 684
The greatest common divisor of numbers 498, 424, 237, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 424, 237, 684 is 1.
1. What is the GCD of 498, 424, 237, 684?
GCD of given numbers 498, 424, 237, 684 is 1
2. How to calculate the greatest common divisor of 498, 424, 237, 684?
We can find the highest common divisor of 498, 424, 237, 684 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, 424, 237, 684 i.e 1.
3. How can I use the GCD of 498, 424, 237, 684Calculator?
Out the numbers 498, 424, 237, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.