GCD of 996, 825, 112, 982 Calculator

Given Input numbers are 996, 825, 112, 982

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 982 :

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

1, 2, 491, 982

GCD of numbers is the greatest common divisor

So, the GCD (996, 825, 112, 982) = 1.

Given numbers are 996, 825, 112, 982

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 982 are 2 x 491

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 996, 825, 112, 982

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

Apply this formula for all numbers.

Step1:

LCM(996, 825) = 273900

GCD(996, 825) = ( 996 x 825 ) / 273900

= 996 / 825

= 996

Step2:

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

= 3 / 112

= 3

Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1

So, Greatest Common Divisor of 996, 825, 112, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 662, 733, 500
• GCD of 391, 259, 966, 773
• GCD of 720, 554, 942, 778
• GCD of 703, 106, 473, 141
• GCD of 990, 316, 596, 832

Given numbers are 996, 825, 112, 982
The greatest common divisor of numbers 996, 825, 112, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 825, 112, 982 is 1.

1. What is the GCD of 996, 825, 112, 982?

GCD of given numbers 996, 825, 112, 982 is 1

2. How to calculate the greatest common divisor of 996, 825, 112, 982?

We can find the highest common divisor of 996, 825, 112, 982 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 996, 825, 112, 982 i.e 1.

3. How can I use the GCD of 996, 825, 112, 982Calculator?

Out the numbers 996, 825, 112, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.