Online GCD Calculator is useful to find the GCD of 303, 666, 174, 252 quickly. Get the easiest ways to solve the greatest common divisor of 303, 666, 174, 252 i.e 3 in different methods as follows.
Given Input numbers are 303, 666, 174, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (303, 666, 174, 252) = 3.
Given numbers are 303, 666, 174, 252
The list of prime factors of all numbers are
Prime factors of 303 are 3 x 101
Prime factors of 666 are 2 x 3 x 3 x 37
Prime factors of 174 are 2 x 3 x 29
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 303, 666, 174, 252 is 3.
Given numbers are 303, 666, 174, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(303, 666) = 67266
GCD(303, 666) = ( 303 x 666 ) / 67266
= 303 / 666
= 303
Step2:
LCM(3, 174) = 174
GCD(3, 174) = ( 3 x 174 ) / 174
= 3 / 174
= 3
Step3:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
So, Greatest Common Divisor of 303, 666, 174, 252 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 303, 666, 174, 252
The greatest common divisor of numbers 303, 666, 174, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 666, 174, 252 is 3.
1. What is the GCD of 303, 666, 174, 252?
GCD of given numbers 303, 666, 174, 252 is 3
2. How to calculate the greatest common divisor of 303, 666, 174, 252?
We can find the highest common divisor of 303, 666, 174, 252 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 303, 666, 174, 252 i.e 3.
3. How can I use the GCD of 303, 666, 174, 252Calculator?
Out the numbers 303, 666, 174, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.