Online GCD Calculator is useful to find the GCD of 236, 336, 498, 172 quickly. Get the easiest ways to solve the greatest common divisor of 236, 336, 498, 172 i.e 2 in different methods as follows.
Given Input numbers are 236, 336, 498, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (236, 336, 498, 172) = 2.
Given numbers are 236, 336, 498, 172
The list of prime factors of all numbers are
Prime factors of 236 are 2 x 2 x 59
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 498 are 2 x 3 x 83
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 236, 336, 498, 172 is 2.
Given numbers are 236, 336, 498, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(236, 336) = 19824
GCD(236, 336) = ( 236 x 336 ) / 19824
= 236 / 336
= 236
Step2:
LCM(4, 498) = 996
GCD(4, 498) = ( 4 x 498 ) / 996
= 4 / 498
= 4
Step3:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 236, 336, 498, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 236, 336, 498, 172
The greatest common divisor of numbers 236, 336, 498, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 236, 336, 498, 172 is 2.
1. What is the GCD of 236, 336, 498, 172?
GCD of given numbers 236, 336, 498, 172 is 2
2. How to calculate the greatest common divisor of 236, 336, 498, 172?
We can find the highest common divisor of 236, 336, 498, 172 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 236, 336, 498, 172 i.e 2.
3. How can I use the GCD of 236, 336, 498, 172Calculator?
Out the numbers 236, 336, 498, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.