Online GCD Calculator is useful to find the GCD of 538, 498, 116, 848 quickly. Get the easiest ways to solve the greatest common divisor of 538, 498, 116, 848 i.e 2 in different methods as follows.
Given Input numbers are 538, 498, 116, 848
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
GCD of numbers is the greatest common divisor
So, the GCD (538, 498, 116, 848) = 2.
Given numbers are 538, 498, 116, 848
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 498 are 2 x 3 x 83
Prime factors of 116 are 2 x 2 x 29
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 538, 498, 116, 848 is 2.
Given numbers are 538, 498, 116, 848
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 498) = 133962
GCD(538, 498) = ( 538 x 498 ) / 133962
= 538 / 498
= 538
Step2:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
Step3:
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
= 2 / 848
= 2
So, Greatest Common Divisor of 538, 498, 116, 848 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 498, 116, 848
The greatest common divisor of numbers 538, 498, 116, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 498, 116, 848 is 2.
1. What is the GCD of 538, 498, 116, 848?
GCD of given numbers 538, 498, 116, 848 is 2
2. How to calculate the greatest common divisor of 538, 498, 116, 848?
We can find the highest common divisor of 538, 498, 116, 848 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 538, 498, 116, 848 i.e 2.
3. How can I use the GCD of 538, 498, 116, 848Calculator?
Out the numbers 538, 498, 116, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.