GCD of 928, 342, 956, 112 Calculator

Given Input numbers are 928, 342, 956, 112

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (928, 342, 956, 112) = 2.

Given numbers are 928, 342, 956, 112

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 956 are 2 x 2 x 239

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

The highest common occurrence is 2¹

Therefore, GCD of 928, 342, 956, 112 is 2.

Given numbers are 928, 342, 956, 112

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

Apply this formula for all numbers.

Step1:

LCM(928, 342) = 158688

GCD(928, 342) = ( 928 x 342 ) / 158688

= 928 / 342

= 928

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 928, 342, 956, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 177, 110, 360
• GCD of 348, 993, 574, 225
• GCD of 101, 886, 494, 534
• GCD of 135, 244, 145, 599
• GCD of 164, 199, 803, 256

Given numbers are 928, 342, 956, 112
The greatest common divisor of numbers 928, 342, 956, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 342, 956, 112 is 2.

1. What is the GCD of 928, 342, 956, 112?

GCD of given numbers 928, 342, 956, 112 is 2

2. How to calculate the greatest common divisor of 928, 342, 956, 112?

We can find the highest common divisor of 928, 342, 956, 112 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 928, 342, 956, 112 i.e 2.

3. How can I use the GCD of 928, 342, 956, 112Calculator?

Out the numbers 928, 342, 956, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.