GCD of 982, 338, 992, 728 Calculator

Given Input numbers are 982, 338, 992, 728

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

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (982, 338, 992, 728) = 2.

Given numbers are 982, 338, 992, 728

The list of prime factors of all numbers are

Prime factors of 982 are 2 x 491

Prime factors of 338 are 2 x 13 x 13

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 982, 338, 992, 728 is 2.

Given numbers are 982, 338, 992, 728

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

Apply this formula for all numbers.

Step1:

LCM(982, 338) = 165958

GCD(982, 338) = ( 982 x 338 ) / 165958

= 982 / 338

= 982

Step2:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 982, 338, 992, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 425, 434, 770
• GCD of 389, 417, 510, 256
• GCD of 648, 658, 580, 930
• GCD of 283, 268, 301, 595
• GCD of 657, 533, 162, 381

Given numbers are 982, 338, 992, 728
The greatest common divisor of numbers 982, 338, 992, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 338, 992, 728 is 2.

1. What is the GCD of 982, 338, 992, 728?

GCD of given numbers 982, 338, 992, 728 is 2

2. How to calculate the greatest common divisor of 982, 338, 992, 728?

We can find the highest common divisor of 982, 338, 992, 728 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 982, 338, 992, 728 i.e 2.

3. How can I use the GCD of 982, 338, 992, 728Calculator?

Out the numbers 982, 338, 992, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.