Online GCD Calculator is useful to find the GCD of 502, 348, 548, 524 quickly. Get the easiest ways to solve the greatest common divisor of 502, 348, 548, 524 i.e 2 in different methods as follows.
Given Input numbers are 502, 348, 548, 524
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 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 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
GCD of numbers is the greatest common divisor
So, the GCD (502, 348, 548, 524) = 2.
Given numbers are 502, 348, 548, 524
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 548 are 2 x 2 x 137
Prime factors of 524 are 2 x 2 x 131
The highest common occurrence is 21
Therefore, GCD of 502, 348, 548, 524 is 2.
Given numbers are 502, 348, 548, 524
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 348) = 87348
GCD(502, 348) = ( 502 x 348 ) / 87348
= 502 / 348
= 502
Step2:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
Step3:
LCM(2, 524) = 524
GCD(2, 524) = ( 2 x 524 ) / 524
= 2 / 524
= 2
So, Greatest Common Divisor of 502, 348, 548, 524 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 348, 548, 524
The greatest common divisor of numbers 502, 348, 548, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 348, 548, 524 is 2.
1. What is the GCD of 502, 348, 548, 524?
GCD of given numbers 502, 348, 548, 524 is 2
2. How to calculate the greatest common divisor of 502, 348, 548, 524?
We can find the highest common divisor of 502, 348, 548, 524 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, 348, 548, 524 i.e 2.
3. How can I use the GCD of 502, 348, 548, 524Calculator?
Out the numbers 502, 348, 548, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.