GCD of 704, 344, 182, 998 Calculator

Given Input numbers are 704, 344, 182, 998

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (704, 344, 182, 998) = 2.

Given numbers are 704, 344, 182, 998

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 182 are 2 x 7 x 13

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 704, 344, 182, 998 is 2.

Given numbers are 704, 344, 182, 998

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

Apply this formula for all numbers.

Step1:

LCM(704, 344) = 30272

GCD(704, 344) = ( 704 x 344 ) / 30272

= 704 / 344

= 704

Step2:

LCM(8, 182) = 728

GCD(8, 182) = ( 8 x 182 ) / 728

= 8 / 182

= 8

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 704, 344, 182, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 214, 800, 853
• GCD of 800, 518, 801, 709
• GCD of 512, 172, 628, 391
• GCD of 814, 971, 526, 590
• GCD of 749, 159, 692, 639

Given numbers are 704, 344, 182, 998
The greatest common divisor of numbers 704, 344, 182, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 344, 182, 998 is 2.

1. What is the GCD of 704, 344, 182, 998?

GCD of given numbers 704, 344, 182, 998 is 2

2. How to calculate the greatest common divisor of 704, 344, 182, 998?

We can find the highest common divisor of 704, 344, 182, 998 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 704, 344, 182, 998 i.e 2.

3. How can I use the GCD of 704, 344, 182, 998Calculator?

Out the numbers 704, 344, 182, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.