Online GCD Calculator is useful to find the GCD of 498, 984, 583, 564 quickly. Get the easiest ways to solve the greatest common divisor of 498, 984, 583, 564 i.e 1 in different methods as follows.
Given Input numbers are 498, 984, 583, 564
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 583 :
The positive integer divisors of 583 that completely divides 583 are.
1, 11, 53, 583
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (498, 984, 583, 564) = 1.
Given numbers are 498, 984, 583, 564
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 583 are 11 x 53
Prime factors of 564 are 2 x 2 x 3 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 984, 583, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 984) = 81672
GCD(498, 984) = ( 498 x 984 ) / 81672
= 498 / 984
= 498
Step2:
LCM(6, 583) = 3498
GCD(6, 583) = ( 6 x 583 ) / 3498
= 6 / 583
= 6
Step3:
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
= 1 / 564
= 1
So, Greatest Common Divisor of 498, 984, 583, 564 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 984, 583, 564
The greatest common divisor of numbers 498, 984, 583, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 984, 583, 564 is 1.
1. What is the GCD of 498, 984, 583, 564?
GCD of given numbers 498, 984, 583, 564 is 1
2. How to calculate the greatest common divisor of 498, 984, 583, 564?
We can find the highest common divisor of 498, 984, 583, 564 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, 984, 583, 564 i.e 1.
3. How can I use the GCD of 498, 984, 583, 564Calculator?
Out the numbers 498, 984, 583, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.