GCD of 984, 704, 982, 480 Calculator

Given Input numbers are 984, 704, 982, 480

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 982 :

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

1, 2, 491, 982

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (984, 704, 982, 480) = 2.

Given numbers are 984, 704, 982, 480

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 982 are 2 x 491

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 984, 704, 982, 480 is 2.

Given numbers are 984, 704, 982, 480

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

Apply this formula for all numbers.

Step1:

LCM(984, 704) = 86592

GCD(984, 704) = ( 984 x 704 ) / 86592

= 984 / 704

= 984

Step2:

LCM(8, 982) = 3928

GCD(8, 982) = ( 8 x 982 ) / 3928

= 8 / 982

= 8

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 984, 704, 982, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 468, 568, 145
• GCD of 925, 928, 556, 225
• GCD of 806, 762, 285, 212
• GCD of 409, 271, 257, 707
• GCD of 114, 967, 375, 810

Given numbers are 984, 704, 982, 480
The greatest common divisor of numbers 984, 704, 982, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 704, 982, 480 is 2.

1. What is the GCD of 984, 704, 982, 480?

GCD of given numbers 984, 704, 982, 480 is 2

2. How to calculate the greatest common divisor of 984, 704, 982, 480?

We can find the highest common divisor of 984, 704, 982, 480 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 984, 704, 982, 480 i.e 2.

3. How can I use the GCD of 984, 704, 982, 480Calculator?

Out the numbers 984, 704, 982, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.