GCD of 110, 489, 560, 198 Calculator

Given Input numbers are 110, 489, 560, 198

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 (110, 489, 560, 198) = 1.

Given numbers are 110, 489, 560, 198

The list of prime factors of all numbers are

Prime factors of 110 are 2 x 5 x 11

Prime factors of 489 are 3 x 163

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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 110, 489, 560, 198

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

Apply this formula for all numbers.

Step1:

LCM(110, 489) = 53790

GCD(110, 489) = ( 110 x 489 ) / 53790

= 110 / 489

= 110

Step2:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 110, 489, 560, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 850, 307, 624
• GCD of 850, 672, 131, 234
• GCD of 787, 812, 295, 548
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• GCD of 712, 137, 530, 419

Given numbers are 110, 489, 560, 198
The greatest common divisor of numbers 110, 489, 560, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 489, 560, 198 is 1.

1. What is the GCD of 110, 489, 560, 198?

GCD of given numbers 110, 489, 560, 198 is 1

2. How to calculate the greatest common divisor of 110, 489, 560, 198?

We can find the highest common divisor of 110, 489, 560, 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 110, 489, 560, 198 i.e 1.

3. How can I use the GCD of 110, 489, 560, 198Calculator?

Out the numbers 110, 489, 560, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.