Online GCD Calculator is useful to find the GCD of 174, 378, 498, 675 quickly. Get the easiest ways to solve the greatest common divisor of 174, 378, 498, 675 i.e 3 in different methods as follows.
Given Input numbers are 174, 378, 498, 675
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 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (174, 378, 498, 675) = 3.
Given numbers are 174, 378, 498, 675
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 498 are 2 x 3 x 83
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 174, 378, 498, 675 is 3.
Given numbers are 174, 378, 498, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 378) = 10962
GCD(174, 378) = ( 174 x 378 ) / 10962
= 174 / 378
= 174
Step2:
LCM(6, 498) = 498
GCD(6, 498) = ( 6 x 498 ) / 498
= 6 / 498
= 6
Step3:
LCM(6, 675) = 1350
GCD(6, 675) = ( 6 x 675 ) / 1350
= 6 / 675
= 6
So, Greatest Common Divisor of 174, 378, 498, 675 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 378, 498, 675
The greatest common divisor of numbers 174, 378, 498, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 378, 498, 675 is 3.
1. What is the GCD of 174, 378, 498, 675?
GCD of given numbers 174, 378, 498, 675 is 3
2. How to calculate the greatest common divisor of 174, 378, 498, 675?
We can find the highest common divisor of 174, 378, 498, 675 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, 378, 498, 675 i.e 3.
3. How can I use the GCD of 174, 378, 498, 675Calculator?
Out the numbers 174, 378, 498, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.