GCD of 984, 176, 442, 962 Calculator

Given Input numbers are 984, 176, 442, 962

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 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (984, 176, 442, 962) = 2.

Given numbers are 984, 176, 442, 962

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 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 442 are 2 x 13 x 17

Prime factors of 962 are 2 x 13 x 37

The highest common occurrence is 2¹

Therefore, GCD of 984, 176, 442, 962 is 2.

Given numbers are 984, 176, 442, 962

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

Apply this formula for all numbers.

Step1:

LCM(984, 176) = 21648

GCD(984, 176) = ( 984 x 176 ) / 21648

= 984 / 176

= 984

Step2:

LCM(8, 442) = 1768

GCD(8, 442) = ( 8 x 442 ) / 1768

= 8 / 442

= 8

Step3:

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

= 2 / 962

= 2

So, Greatest Common Divisor of 984, 176, 442, 962 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 954, 112, 744
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Given numbers are 984, 176, 442, 962
The greatest common divisor of numbers 984, 176, 442, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 176, 442, 962 is 2.

1. What is the GCD of 984, 176, 442, 962?

GCD of given numbers 984, 176, 442, 962 is 2

2. How to calculate the greatest common divisor of 984, 176, 442, 962?

We can find the highest common divisor of 984, 176, 442, 962 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, 176, 442, 962 i.e 2.

3. How can I use the GCD of 984, 176, 442, 962Calculator?

Out the numbers 984, 176, 442, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.