GCD of 320, 674, 198 Calculator

Given Input numbers are 320, 674, 198

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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

GCD of numbers is the greatest common divisor

So, the GCD (320, 674, 198) = 2.

Given numbers are 320, 674, 198

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 674 are 2 x 337

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

The highest common occurrence is 2¹

Therefore, GCD of 320, 674, 198 is 2.

Given numbers are 320, 674, 198

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

Apply this formula for all numbers.

Step1:

LCM(320, 674) = 107840

GCD(320, 674) = ( 320 x 674 ) / 107840

= 320 / 674

= 320

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 320, 674, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 380, 342
• GCD of 580, 831, 180
• GCD of 208, 436, 489
• GCD of 368, 986, 133
• GCD of 567, 688, 747

Given numbers are 320, 674, 198
The greatest common divisor of numbers 320, 674, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 674, 198 is 2.

1. What is the GCD of 320, 674, 198?

GCD of given numbers 320, 674, 198 is 2

2. How to calculate the greatest common divisor of 320, 674, 198?

We can find the highest common divisor of 320, 674, 198 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 320, 674, 198 i.e 2.

3. How can I use the GCD of 320, 674, 198Calculator?

Out the numbers 320, 674, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.