GCD of 40, 34, 32, 48 Calculator

Given Input numbers are 40, 34, 32, 48

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

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (40, 34, 32, 48) = 2.

Given numbers are 40, 34, 32, 48

The list of prime factors of all numbers are

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 34 are 2 x 17

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 40, 34, 32, 48 is 2.

Given numbers are 40, 34, 32, 48

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

Apply this formula for all numbers.

Step1:

LCM(40, 34) = 680

GCD(40, 34) = ( 40 x 34 ) / 680

= 40 / 34

= 40

Step2:

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

= 2 / 32

= 2

Step3:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

So, Greatest Common Divisor of 40, 34, 32, 48 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 96, 74, 90
• GCD of 84, 44, 50, 62
• GCD of 23, 69, 85, 17
• GCD of 66, 32, 90, 54
• GCD of 37, 76, 91, 43

Given numbers are 40, 34, 32, 48
The greatest common divisor of numbers 40, 34, 32, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 40, 34, 32, 48 is 2.

1. What is the GCD of 40, 34, 32, 48?

GCD of given numbers 40, 34, 32, 48 is 2

2. How to calculate the greatest common divisor of 40, 34, 32, 48?

We can find the highest common divisor of 40, 34, 32, 48 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 40, 34, 32, 48 i.e 2.

3. How can I use the GCD of 40, 34, 32, 48Calculator?

Out the numbers 40, 34, 32, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.