GCD of 354, 198, 784, 394 Calculator

Given Input numbers are 354, 198, 784, 394

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (354, 198, 784, 394) = 2.

Given numbers are 354, 198, 784, 394

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 354, 198, 784, 394 is 2.

Given numbers are 354, 198, 784, 394

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

Apply this formula for all numbers.

Step1:

LCM(354, 198) = 11682

GCD(354, 198) = ( 354 x 198 ) / 11682

= 354 / 198

= 354

Step2:

LCM(6, 784) = 2352

GCD(6, 784) = ( 6 x 784 ) / 2352

= 6 / 784

= 6

Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

So, Greatest Common Divisor of 354, 198, 784, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 990, 137, 497
• GCD of 123, 511, 455, 972
• GCD of 741, 241, 381, 174
• GCD of 119, 629, 998, 950
• GCD of 654, 300, 435, 822

Given numbers are 354, 198, 784, 394
The greatest common divisor of numbers 354, 198, 784, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 198, 784, 394 is 2.

1. What is the GCD of 354, 198, 784, 394?

GCD of given numbers 354, 198, 784, 394 is 2

2. How to calculate the greatest common divisor of 354, 198, 784, 394?

We can find the highest common divisor of 354, 198, 784, 394 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 354, 198, 784, 394 i.e 2.

3. How can I use the GCD of 354, 198, 784, 394Calculator?

Out the numbers 354, 198, 784, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.