Online GCD Calculator is useful to find the GCD of 488, 474, 348, 874 quickly. Get the easiest ways to solve the greatest common divisor of 488, 474, 348, 874 i.e 2 in different methods as follows.
Given Input numbers are 488, 474, 348, 874
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
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 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (488, 474, 348, 874) = 2.
Given numbers are 488, 474, 348, 874
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 474 are 2 x 3 x 79
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 874 are 2 x 19 x 23
The highest common occurrence is 21
Therefore, GCD of 488, 474, 348, 874 is 2.
Given numbers are 488, 474, 348, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 474) = 115656
GCD(488, 474) = ( 488 x 474 ) / 115656
= 488 / 474
= 488
Step2:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
Step3:
LCM(2, 874) = 874
GCD(2, 874) = ( 2 x 874 ) / 874
= 2 / 874
= 2
So, Greatest Common Divisor of 488, 474, 348, 874 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 474, 348, 874
The greatest common divisor of numbers 488, 474, 348, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 474, 348, 874 is 2.
1. What is the GCD of 488, 474, 348, 874?
GCD of given numbers 488, 474, 348, 874 is 2
2. How to calculate the greatest common divisor of 488, 474, 348, 874?
We can find the highest common divisor of 488, 474, 348, 874 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 488, 474, 348, 874 i.e 2.
3. How can I use the GCD of 488, 474, 348, 874Calculator?
Out the numbers 488, 474, 348, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.