GCD of 198, 530, 648, 748 Calculator

Given Input numbers are 198, 530, 648, 748

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

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (198, 530, 648, 748) = 2.

Given numbers are 198, 530, 648, 748

The list of prime factors of all numbers are

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

Prime factors of 530 are 2 x 5 x 53

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 198, 530, 648, 748 is 2.

Given numbers are 198, 530, 648, 748

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

Apply this formula for all numbers.

Step1:

LCM(198, 530) = 52470

GCD(198, 530) = ( 198 x 530 ) / 52470

= 198 / 530

= 198

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 198, 530, 648, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 221, 365, 917
• GCD of 326, 532, 238, 866
• GCD of 988, 667, 963, 197
• GCD of 384, 571, 422, 361
• GCD of 300, 828, 571, 531

Given numbers are 198, 530, 648, 748
The greatest common divisor of numbers 198, 530, 648, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 530, 648, 748 is 2.

1. What is the GCD of 198, 530, 648, 748?

GCD of given numbers 198, 530, 648, 748 is 2

2. How to calculate the greatest common divisor of 198, 530, 648, 748?

We can find the highest common divisor of 198, 530, 648, 748 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 198, 530, 648, 748 i.e 2.

3. How can I use the GCD of 198, 530, 648, 748Calculator?

Out the numbers 198, 530, 648, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.