GCD of 998, 864, 210, 232 Calculator

Given Input numbers are 998, 864, 210, 232

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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 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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (998, 864, 210, 232) = 2.

Given numbers are 998, 864, 210, 232

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

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

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

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 998, 864, 210, 232 is 2.

Given numbers are 998, 864, 210, 232

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

Apply this formula for all numbers.

Step1:

LCM(998, 864) = 431136

GCD(998, 864) = ( 998 x 864 ) / 431136

= 998 / 864

= 998

Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 998, 864, 210, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 749, 143, 788
• GCD of 828, 961, 550, 103
• GCD of 246, 773, 423, 342
• GCD of 705, 918, 996, 102
• GCD of 151, 430, 881, 615

Given numbers are 998, 864, 210, 232
The greatest common divisor of numbers 998, 864, 210, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 864, 210, 232 is 2.

1. What is the GCD of 998, 864, 210, 232?

GCD of given numbers 998, 864, 210, 232 is 2

2. How to calculate the greatest common divisor of 998, 864, 210, 232?

We can find the highest common divisor of 998, 864, 210, 232 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 998, 864, 210, 232 i.e 2.

3. How can I use the GCD of 998, 864, 210, 232Calculator?

Out the numbers 998, 864, 210, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.