GCD of 112, 724, 390, 118 Calculator

Given Input numbers are 112, 724, 390, 118

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 118 :

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

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (112, 724, 390, 118) = 2.

Given numbers are 112, 724, 390, 118

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 724 are 2 x 2 x 181

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 112, 724, 390, 118 is 2.

Given numbers are 112, 724, 390, 118

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

Apply this formula for all numbers.

Step1:

LCM(112, 724) = 20272

GCD(112, 724) = ( 112 x 724 ) / 20272

= 112 / 724

= 112

Step2:

LCM(4, 390) = 780

GCD(4, 390) = ( 4 x 390 ) / 780

= 4 / 390

= 4

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 112, 724, 390, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 417, 883, 728
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Given numbers are 112, 724, 390, 118
The greatest common divisor of numbers 112, 724, 390, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 724, 390, 118 is 2.

1. What is the GCD of 112, 724, 390, 118?

GCD of given numbers 112, 724, 390, 118 is 2

2. How to calculate the greatest common divisor of 112, 724, 390, 118?

We can find the highest common divisor of 112, 724, 390, 118 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, 724, 390, 118 i.e 2.

3. How can I use the GCD of 112, 724, 390, 118Calculator?

Out the numbers 112, 724, 390, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.