GCD of 530, 900, 198, 344 Calculator

Given Input numbers are 530, 900, 198, 344

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

Divisors of 530 :

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

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (530, 900, 198, 344) = 2.

Given numbers are 530, 900, 198, 344

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 530, 900, 198, 344 is 2.

Given numbers are 530, 900, 198, 344

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

Apply this formula for all numbers.

Step1:

LCM(530, 900) = 47700

GCD(530, 900) = ( 530 x 900 ) / 47700

= 530 / 900

= 530

Step2:

LCM(10, 198) = 990

GCD(10, 198) = ( 10 x 198 ) / 990

= 10 / 198

= 10

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 530, 900, 198, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 966, 618, 400
• GCD of 823, 282, 565, 603
• GCD of 652, 338, 141, 872
• GCD of 495, 893, 382, 413
• GCD of 466, 504, 771, 174

Given numbers are 530, 900, 198, 344
The greatest common divisor of numbers 530, 900, 198, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 900, 198, 344 is 2.

1. What is the GCD of 530, 900, 198, 344?

GCD of given numbers 530, 900, 198, 344 is 2

2. How to calculate the greatest common divisor of 530, 900, 198, 344?

We can find the highest common divisor of 530, 900, 198, 344 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 530, 900, 198, 344 i.e 2.

3. How can I use the GCD of 530, 900, 198, 344Calculator?

Out the numbers 530, 900, 198, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.