Online GCD Calculator is useful to find the GCD of 472, 874, 18 quickly. Get the easiest ways to solve the greatest common divisor of 472, 874, 18 i.e 2 in different methods as follows.
Given Input numbers are 472, 874, 18
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
GCD of numbers is the greatest common divisor
So, the GCD (472, 874, 18) = 2.
Given numbers are 472, 874, 18
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 874 are 2 x 19 x 23
Prime factors of 18 are 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 472, 874, 18 is 2.
Given numbers are 472, 874, 18
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 874) = 206264
GCD(472, 874) = ( 472 x 874 ) / 206264
= 472 / 874
= 472
Step2:
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
= 2 / 18
= 2
So, Greatest Common Divisor of 472, 874, 18 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 874, 18
The greatest common divisor of numbers 472, 874, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 874, 18 is 2.
1. What is the GCD of 472, 874, 18?
GCD of given numbers 472, 874, 18 is 2
2. How to calculate the greatest common divisor of 472, 874, 18?
We can find the highest common divisor of 472, 874, 18 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 472, 874, 18 i.e 2.
3. How can I use the GCD of 472, 874, 18Calculator?
Out the numbers 472, 874, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.