GCD of 198, 464, 898, 352 Calculator

Given Input numbers are 198, 464, 898, 352

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (198, 464, 898, 352) = 2.

Given numbers are 198, 464, 898, 352

The list of prime factors of all numbers are

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 898 are 2 x 449

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 198, 464, 898, 352 is 2.

Given numbers are 198, 464, 898, 352

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

Apply this formula for all numbers.

Step1:

LCM(198, 464) = 45936

GCD(198, 464) = ( 198 x 464 ) / 45936

= 198 / 464

= 198

Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 198, 464, 898, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 385, 398, 127
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• GCD of 421, 797, 816, 563
• GCD of 274, 232, 211, 926
• GCD of 829, 421, 935, 665

Given numbers are 198, 464, 898, 352
The greatest common divisor of numbers 198, 464, 898, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 464, 898, 352 is 2.

1. What is the GCD of 198, 464, 898, 352?

GCD of given numbers 198, 464, 898, 352 is 2

2. How to calculate the greatest common divisor of 198, 464, 898, 352?

We can find the highest common divisor of 198, 464, 898, 352 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, 464, 898, 352 i.e 2.

3. How can I use the GCD of 198, 464, 898, 352Calculator?

Out the numbers 198, 464, 898, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.