GCD of 112, 105, 82, 828 Calculator

Given Input numbers are 112, 105, 82, 828

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

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (112, 105, 82, 828) = 1.

Given numbers are 112, 105, 82, 828

The list of prime factors of all numbers are

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 82 are 2 x 41

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 112, 105, 82, 828

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

Apply this formula for all numbers.

Step1:

LCM(112, 105) = 1680

GCD(112, 105) = ( 112 x 105 ) / 1680

= 112 / 105

= 112

Step2:

LCM(7, 82) = 574

GCD(7, 82) = ( 7 x 82 ) / 574

= 7 / 82

= 7

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 112, 105, 82, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 392, 51, 222
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• GCD of 977, 939, 36, 380
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• GCD of 278, 799, 49, 885

Given numbers are 112, 105, 82, 828
The greatest common divisor of numbers 112, 105, 82, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 105, 82, 828 is 1.

1. What is the GCD of 112, 105, 82, 828?

GCD of given numbers 112, 105, 82, 828 is 1

2. How to calculate the greatest common divisor of 112, 105, 82, 828?

We can find the highest common divisor of 112, 105, 82, 828 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 112, 105, 82, 828 i.e 1.

3. How can I use the GCD of 112, 105, 82, 828Calculator?

Out the numbers 112, 105, 82, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.