GCD of 198, 320, 274, 358 Calculator

Given Input numbers are 198, 320, 274, 358

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 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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (198, 320, 274, 358) = 2.

Given numbers are 198, 320, 274, 358

The list of prime factors of all numbers are

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

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

Prime factors of 274 are 2 x 137

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 198, 320, 274, 358 is 2.

Given numbers are 198, 320, 274, 358

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

Apply this formula for all numbers.

Step1:

LCM(198, 320) = 31680

GCD(198, 320) = ( 198 x 320 ) / 31680

= 198 / 320

= 198

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 198, 320, 274, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 614, 660, 996
• GCD of 394, 887, 606, 689
• GCD of 383, 875, 728, 950
• GCD of 924, 242, 143, 581
• GCD of 289, 374, 642, 263

Given numbers are 198, 320, 274, 358
The greatest common divisor of numbers 198, 320, 274, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 320, 274, 358 is 2.

1. What is the GCD of 198, 320, 274, 358?

GCD of given numbers 198, 320, 274, 358 is 2

2. How to calculate the greatest common divisor of 198, 320, 274, 358?

We can find the highest common divisor of 198, 320, 274, 358 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, 320, 274, 358 i.e 2.

3. How can I use the GCD of 198, 320, 274, 358Calculator?

Out the numbers 198, 320, 274, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.