Online GCD Calculator is useful to find the GCD of 492, 184, 502, 420 quickly. Get the easiest ways to solve the greatest common divisor of 492, 184, 502, 420 i.e 2 in different methods as follows.
Given Input numbers are 492, 184, 502, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (492, 184, 502, 420) = 2.
Given numbers are 492, 184, 502, 420
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 502 are 2 x 251
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 492, 184, 502, 420 is 2.
Given numbers are 492, 184, 502, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 184) = 22632
GCD(492, 184) = ( 492 x 184 ) / 22632
= 492 / 184
= 492
Step2:
LCM(4, 502) = 1004
GCD(4, 502) = ( 4 x 502 ) / 1004
= 4 / 502
= 4
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 492, 184, 502, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 184, 502, 420
The greatest common divisor of numbers 492, 184, 502, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 184, 502, 420 is 2.
1. What is the GCD of 492, 184, 502, 420?
GCD of given numbers 492, 184, 502, 420 is 2
2. How to calculate the greatest common divisor of 492, 184, 502, 420?
We can find the highest common divisor of 492, 184, 502, 420 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 492, 184, 502, 420 i.e 2.
3. How can I use the GCD of 492, 184, 502, 420Calculator?
Out the numbers 492, 184, 502, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.