Online GCD Calculator is useful to find the GCD of 172, 664, 168 quickly. Get the easiest ways to solve the greatest common divisor of 172, 664, 168 i.e 4 in different methods as follows.
Given Input numbers are 172, 664, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (172, 664, 168) = 4.
Given numbers are 172, 664, 168
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 172, 664, 168 is 4.
Given numbers are 172, 664, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 664) = 28552
GCD(172, 664) = ( 172 x 664 ) / 28552
= 172 / 664
= 172
Step2:
LCM(4, 168) = 168
GCD(4, 168) = ( 4 x 168 ) / 168
= 4 / 168
= 4
So, Greatest Common Divisor of 172, 664, 168 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 664, 168
The greatest common divisor of numbers 172, 664, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 664, 168 is 4.
1. What is the GCD of 172, 664, 168?
GCD of given numbers 172, 664, 168 is 4
2. How to calculate the greatest common divisor of 172, 664, 168?
We can find the highest common divisor of 172, 664, 168 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 172, 664, 168 i.e 4.
3. How can I use the GCD of 172, 664, 168Calculator?
Out the numbers 172, 664, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.