GCD of 174, 378, 498, 675 Calculator

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.

• GCD of 191, 434, 487, 347
• GCD of 280, 622, 964, 499
• GCD of 582, 288, 167, 179
• GCD of 605, 143, 431, 920
• GCD of 463, 494, 961, 922

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.