Online GCD Calculator is useful to find the GCD of 502, 148, 348, 490 quickly. Get the easiest ways to solve the greatest common divisor of 502, 148, 348, 490 i.e 2 in different methods as follows.
Given Input numbers are 502, 148, 348, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (502, 148, 348, 490) = 2.
Given numbers are 502, 148, 348, 490
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 148 are 2 x 2 x 37
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 502, 148, 348, 490 is 2.
Given numbers are 502, 148, 348, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 148) = 37148
GCD(502, 148) = ( 502 x 148 ) / 37148
= 502 / 148
= 502
Step2:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 502, 148, 348, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 148, 348, 490
The greatest common divisor of numbers 502, 148, 348, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 148, 348, 490 is 2.
1. What is the GCD of 502, 148, 348, 490?
GCD of given numbers 502, 148, 348, 490 is 2
2. How to calculate the greatest common divisor of 502, 148, 348, 490?
We can find the highest common divisor of 502, 148, 348, 490 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 502, 148, 348, 490 i.e 2.
3. How can I use the GCD of 502, 148, 348, 490Calculator?
Out the numbers 502, 148, 348, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.