GCD of 404, 270, 107, 198 Calculator

Given Input numbers are 404, 270, 107, 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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

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, 270, 107, 198) = 1.

Given numbers are 404, 270, 107, 198

The list of prime factors of all numbers are

Prime factors of 404 are 2 x 2 x 101

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 107 are 107

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 404, 270, 107, 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, 270) = 54540

GCD(404, 270) = ( 404 x 270 ) / 54540

= 404 / 270

= 404

Step2:

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

= 2 / 107

= 2

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 404, 270, 107, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 928, 891, 543
• GCD of 189, 956, 346, 592
• GCD of 100, 581, 319, 223
• GCD of 533, 213, 425, 453
• GCD of 705, 919, 277, 262

Given numbers are 404, 270, 107, 198
The greatest common divisor of numbers 404, 270, 107, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 270, 107, 198 is 1.

1. What is the GCD of 404, 270, 107, 198?

GCD of given numbers 404, 270, 107, 198 is 1

2. How to calculate the greatest common divisor of 404, 270, 107, 198?

We can find the highest common divisor of 404, 270, 107, 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, 270, 107, 198 i.e 1.

3. How can I use the GCD of 404, 270, 107, 198Calculator?

Out the numbers 404, 270, 107, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.