GCD of 96, 74, 42, 44 Calculator

Given Input numbers are 96, 74, 42, 44

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

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 44 :

The positive integer divisors of 44 that completely divides 44 are.

1, 2, 4, 11, 22, 44

GCD of numbers is the greatest common divisor

So, the GCD (96, 74, 42, 44) = 2.

Given numbers are 96, 74, 42, 44

The list of prime factors of all numbers are

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 74 are 2 x 37

Prime factors of 42 are 2 x 3 x 7

Prime factors of 44 are 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 96, 74, 42, 44 is 2.

Given numbers are 96, 74, 42, 44

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

Apply this formula for all numbers.

Step1:

LCM(96, 74) = 3552

GCD(96, 74) = ( 96 x 74 ) / 3552

= 96 / 74

= 96

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

= 2 / 44

= 2

So, Greatest Common Divisor of 96, 74, 42, 44 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 48, 72, 13
• GCD of 20, 30, 87, 37
• GCD of 46, 77, 64, 20
• GCD of 20, 73, 96, 68
• GCD of 20, 53, 41, 97

Given numbers are 96, 74, 42, 44
The greatest common divisor of numbers 96, 74, 42, 44 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 96, 74, 42, 44 is 2.

1. What is the GCD of 96, 74, 42, 44?

GCD of given numbers 96, 74, 42, 44 is 2

2. How to calculate the greatest common divisor of 96, 74, 42, 44?

We can find the highest common divisor of 96, 74, 42, 44 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 96, 74, 42, 44 i.e 2.

3. How can I use the GCD of 96, 74, 42, 44Calculator?

Out the numbers 96, 74, 42, 44 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.