GCD of 112, 988, 852, 442 Calculator

Given Input numbers are 112, 988, 852, 442

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 442 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (112, 988, 852, 442) = 2.

Given numbers are 112, 988, 852, 442

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 988 are 2 x 2 x 13 x 19

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 112, 988, 852, 442 is 2.

Given numbers are 112, 988, 852, 442

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

Apply this formula for all numbers.

Step1:

LCM(112, 988) = 27664

GCD(112, 988) = ( 112 x 988 ) / 27664

= 112 / 988

= 112

Step2:

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

= 4 / 852

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 112, 988, 852, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 955, 225, 554
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Given numbers are 112, 988, 852, 442
The greatest common divisor of numbers 112, 988, 852, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 988, 852, 442 is 2.

1. What is the GCD of 112, 988, 852, 442?

GCD of given numbers 112, 988, 852, 442 is 2

2. How to calculate the greatest common divisor of 112, 988, 852, 442?

We can find the highest common divisor of 112, 988, 852, 442 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, 988, 852, 442 i.e 2.

3. How can I use the GCD of 112, 988, 852, 442Calculator?

Out the numbers 112, 988, 852, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.