Online GCD Calculator is useful to find the GCD of 208, 456, 172 quickly. Get the easiest ways to solve the greatest common divisor of 208, 456, 172 i.e 4 in different methods as follows.
Given Input numbers are 208, 456, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 (208, 456, 172) = 4.
Given numbers are 208, 456, 172
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 22
Therefore, GCD of 208, 456, 172 is 4.
Given numbers are 208, 456, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 456) = 11856
GCD(208, 456) = ( 208 x 456 ) / 11856
= 208 / 456
= 208
Step2:
LCM(8, 172) = 344
GCD(8, 172) = ( 8 x 172 ) / 344
= 8 / 172
= 8
So, Greatest Common Divisor of 208, 456, 172 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 456, 172
The greatest common divisor of numbers 208, 456, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 456, 172 is 4.
1. What is the GCD of 208, 456, 172?
GCD of given numbers 208, 456, 172 is 4
2. How to calculate the greatest common divisor of 208, 456, 172?
We can find the highest common divisor of 208, 456, 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 208, 456, 172 i.e 4.
3. How can I use the GCD of 208, 456, 172Calculator?
Out the numbers 208, 456, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.