GCD of 112, 882, 182 Calculator

Given Input numbers are 112, 882, 182

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (112, 882, 182) = 14.

Given numbers are 112, 882, 182

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 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 112, 882, 182 is 14.

Given numbers are 112, 882, 182

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

Apply this formula for all numbers.

Step1:

LCM(112, 882) = 7056

GCD(112, 882) = ( 112 x 882 ) / 7056

= 112 / 882

= 112

Step2:

LCM(14, 182) = 182

GCD(14, 182) = ( 14 x 182 ) / 182

= 14 / 182

= 14

So, Greatest Common Divisor of 112, 882, 182 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 947, 909
• GCD of 685, 650, 177
• GCD of 734, 644, 976
• GCD of 655, 516, 116
• GCD of 709, 177, 727

Given numbers are 112, 882, 182
The greatest common divisor of numbers 112, 882, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 882, 182 is 14.

1. What is the GCD of 112, 882, 182?

GCD of given numbers 112, 882, 182 is 14

2. How to calculate the greatest common divisor of 112, 882, 182?

We can find the highest common divisor of 112, 882, 182 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, 882, 182 i.e 14.

3. How can I use the GCD of 112, 882, 182Calculator?

Out the numbers 112, 882, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.