GCD of 112, 118, 20, 372 Calculator

Given Input numbers are 112, 118, 20, 372

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (112, 118, 20, 372) = 2.

Given numbers are 112, 118, 20, 372

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 118 are 2 x 59

Prime factors of 20 are 2 x 2 x 5

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 112, 118, 20, 372 is 2.

Given numbers are 112, 118, 20, 372

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

Apply this formula for all numbers.

Step1:

LCM(112, 118) = 6608

GCD(112, 118) = ( 112 x 118 ) / 6608

= 112 / 118

= 112

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

So, Greatest Common Divisor of 112, 118, 20, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 564, 39, 664
• GCD of 156, 539, 34, 338
• GCD of 592, 444, 70, 262
• GCD of 949, 678, 95, 877
• GCD of 160, 941, 28, 189

Given numbers are 112, 118, 20, 372
The greatest common divisor of numbers 112, 118, 20, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 118, 20, 372 is 2.

1. What is the GCD of 112, 118, 20, 372?

GCD of given numbers 112, 118, 20, 372 is 2

2. How to calculate the greatest common divisor of 112, 118, 20, 372?

We can find the highest common divisor of 112, 118, 20, 372 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, 118, 20, 372 i.e 2.

3. How can I use the GCD of 112, 118, 20, 372Calculator?

Out the numbers 112, 118, 20, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.