GCD of 404, 712, 470, 198 Calculator

Given Input numbers are 404, 712, 470, 198

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

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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 (404, 712, 470, 198) = 2.

Given numbers are 404, 712, 470, 198

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 404, 712, 470, 198 is 2.

Given numbers are 404, 712, 470, 198

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

Apply this formula for all numbers.

Step1:

LCM(404, 712) = 71912

GCD(404, 712) = ( 404 x 712 ) / 71912

= 404 / 712

= 404

Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 404, 712, 470, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 259, 557, 329
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• GCD of 873, 721, 715, 383

Given numbers are 404, 712, 470, 198
The greatest common divisor of numbers 404, 712, 470, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 712, 470, 198 is 2.

1. What is the GCD of 404, 712, 470, 198?

GCD of given numbers 404, 712, 470, 198 is 2

2. How to calculate the greatest common divisor of 404, 712, 470, 198?

We can find the highest common divisor of 404, 712, 470, 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 404, 712, 470, 198 i.e 2.

3. How can I use the GCD of 404, 712, 470, 198Calculator?

Out the numbers 404, 712, 470, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.