Online GCD Calculator is useful to find the GCD of 174, 450, 298, 168 quickly. Get the easiest ways to solve the greatest common divisor of 174, 450, 298, 168 i.e 2 in different methods as follows.
Given Input numbers are 174, 450, 298, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
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 (174, 450, 298, 168) = 2.
Given numbers are 174, 450, 298, 168
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 298 are 2 x 149
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 174, 450, 298, 168 is 2.
Given numbers are 174, 450, 298, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 450) = 13050
GCD(174, 450) = ( 174 x 450 ) / 13050
= 174 / 450
= 174
Step2:
LCM(6, 298) = 894
GCD(6, 298) = ( 6 x 298 ) / 894
= 6 / 298
= 6
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 174, 450, 298, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 450, 298, 168
The greatest common divisor of numbers 174, 450, 298, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 450, 298, 168 is 2.
1. What is the GCD of 174, 450, 298, 168?
GCD of given numbers 174, 450, 298, 168 is 2
2. How to calculate the greatest common divisor of 174, 450, 298, 168?
We can find the highest common divisor of 174, 450, 298, 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 174, 450, 298, 168 i.e 2.
3. How can I use the GCD of 174, 450, 298, 168Calculator?
Out the numbers 174, 450, 298, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.