GCD of 198, 210, 360, 440 Calculator

Given Input numbers are 198, 210, 360, 440

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (198, 210, 360, 440) = 2.

Given numbers are 198, 210, 360, 440

The list of prime factors of all numbers are

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

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 198, 210, 360, 440 is 2.

Given numbers are 198, 210, 360, 440

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

Apply this formula for all numbers.

Step1:

LCM(198, 210) = 6930

GCD(198, 210) = ( 198 x 210 ) / 6930

= 198 / 210

= 198

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 440) = 1320

GCD(6, 440) = ( 6 x 440 ) / 1320

= 6 / 440

= 6

So, Greatest Common Divisor of 198, 210, 360, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 348, 988, 736
• GCD of 129, 110, 831, 841
• GCD of 144, 122, 366, 128
• GCD of 866, 712, 472, 586
• GCD of 933, 637, 720, 284

Given numbers are 198, 210, 360, 440
The greatest common divisor of numbers 198, 210, 360, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 210, 360, 440 is 2.

1. What is the GCD of 198, 210, 360, 440?

GCD of given numbers 198, 210, 360, 440 is 2

2. How to calculate the greatest common divisor of 198, 210, 360, 440?

We can find the highest common divisor of 198, 210, 360, 440 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, 210, 360, 440 i.e 2.

3. How can I use the GCD of 198, 210, 360, 440Calculator?

Out the numbers 198, 210, 360, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.