GCD of 294, 550, 864, 198 Calculator

Given Input numbers are 294, 550, 864, 198

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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 (294, 550, 864, 198) = 2.

Given numbers are 294, 550, 864, 198

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 294, 550, 864, 198 is 2.

Given numbers are 294, 550, 864, 198

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

Apply this formula for all numbers.

Step1:

LCM(294, 550) = 80850

GCD(294, 550) = ( 294 x 550 ) / 80850

= 294 / 550

= 294

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 198) = 198

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

= 2 / 198

= 2

So, Greatest Common Divisor of 294, 550, 864, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 382, 580, 155
• GCD of 878, 419, 715, 781
• GCD of 821, 319, 692, 703
• GCD of 269, 586, 700, 382
• GCD of 138, 378, 182, 901

Given numbers are 294, 550, 864, 198
The greatest common divisor of numbers 294, 550, 864, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 550, 864, 198 is 2.

1. What is the GCD of 294, 550, 864, 198?

GCD of given numbers 294, 550, 864, 198 is 2

2. How to calculate the greatest common divisor of 294, 550, 864, 198?

We can find the highest common divisor of 294, 550, 864, 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 294, 550, 864, 198 i.e 2.

3. How can I use the GCD of 294, 550, 864, 198Calculator?

Out the numbers 294, 550, 864, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.