GCD of 604, 198, 952, 338 Calculator

Given Input numbers are 604, 198, 952, 338

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (604, 198, 952, 338) = 2.

Given numbers are 604, 198, 952, 338

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

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

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 604, 198, 952, 338 is 2.

Given numbers are 604, 198, 952, 338

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

Apply this formula for all numbers.

Step1:

LCM(604, 198) = 59796

GCD(604, 198) = ( 604 x 198 ) / 59796

= 604 / 198

= 604

Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 604, 198, 952, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 372, 155, 949
• GCD of 533, 854, 384, 651
• GCD of 478, 626, 650, 800
• GCD of 572, 267, 580, 692
• GCD of 192, 805, 571, 910

Given numbers are 604, 198, 952, 338
The greatest common divisor of numbers 604, 198, 952, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 198, 952, 338 is 2.

1. What is the GCD of 604, 198, 952, 338?

GCD of given numbers 604, 198, 952, 338 is 2

2. How to calculate the greatest common divisor of 604, 198, 952, 338?

We can find the highest common divisor of 604, 198, 952, 338 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 604, 198, 952, 338 i.e 2.

3. How can I use the GCD of 604, 198, 952, 338Calculator?

Out the numbers 604, 198, 952, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.