GCD of 624, 102, 198, 675 Calculator

Given Input numbers are 624, 102, 198, 675

In the factoring method, we have to find the divisors of all numbers

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (624, 102, 198, 675) = 3.

Given numbers are 624, 102, 198, 675

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 102 are 2 x 3 x 17

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 624, 102, 198, 675 is 3.

Given numbers are 624, 102, 198, 675

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(624, 102) = 10608

GCD(624, 102) = ( 624 x 102 ) / 10608

= 624 / 102

= 624

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

Step3:

LCM(6, 675) = 1350

GCD(6, 675) = ( 6 x 675 ) / 1350

= 6 / 675

= 6

So, Greatest Common Divisor of 624, 102, 198, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 435, 373, 947
• GCD of 454, 605, 640, 581
• GCD of 312, 342, 179, 669
• GCD of 657, 641, 492, 290
• GCD of 201, 345, 148, 506

Given numbers are 624, 102, 198, 675
The greatest common divisor of numbers 624, 102, 198, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 102, 198, 675 is 3.

1. What is the GCD of 624, 102, 198, 675?

GCD of given numbers 624, 102, 198, 675 is 3

2. How to calculate the greatest common divisor of 624, 102, 198, 675?

We can find the highest common divisor of 624, 102, 198, 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 624, 102, 198, 675 i.e 3.

3. How can I use the GCD of 624, 102, 198, 675Calculator?

Out the numbers 624, 102, 198, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.