GCD of 998, 576, 712, 162 Calculator

Given Input numbers are 998, 576, 712, 162

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (998, 576, 712, 162) = 2.

Given numbers are 998, 576, 712, 162

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 998, 576, 712, 162 is 2.

Given numbers are 998, 576, 712, 162

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

Apply this formula for all numbers.

Step1:

LCM(998, 576) = 287424

GCD(998, 576) = ( 998 x 576 ) / 287424

= 998 / 576

= 998

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 998, 576, 712, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 429, 778, 860
• GCD of 364, 541, 386, 172
• GCD of 827, 535, 121, 338
• GCD of 478, 986, 952, 144
• GCD of 292, 905, 792, 390

Given numbers are 998, 576, 712, 162
The greatest common divisor of numbers 998, 576, 712, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 576, 712, 162 is 2.

1. What is the GCD of 998, 576, 712, 162?

GCD of given numbers 998, 576, 712, 162 is 2

2. How to calculate the greatest common divisor of 998, 576, 712, 162?

We can find the highest common divisor of 998, 576, 712, 162 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, 576, 712, 162 i.e 2.

3. How can I use the GCD of 998, 576, 712, 162Calculator?

Out the numbers 998, 576, 712, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.