GCD of 32, 75, 24, 13 Calculator

Given Input numbers are 32, 75, 24, 13

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

Divisors of 32 :

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

1, 2, 4, 8, 16, 32

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

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

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

GCD of numbers is the greatest common divisor

So, the GCD (32, 75, 24, 13) = 1.

Given numbers are 32, 75, 24, 13

The list of prime factors of all numbers are

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

Prime factors of 75 are 3 x 5 x 5

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 13 are 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 32, 75, 24, 13

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

Apply this formula for all numbers.

Step1:

LCM(32, 75) = 2400

GCD(32, 75) = ( 32 x 75 ) / 2400

= 32 / 75

= 32

Step2:

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

= 1 / 24

= 1

Step3:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

So, Greatest Common Divisor of 32, 75, 24, 13 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 38, 18, 14
• GCD of 24, 95, 17, 55
• GCD of 88, 57, 63, 22
• GCD of 14, 71, 58, 84
• GCD of 71, 99, 40, 88

Given numbers are 32, 75, 24, 13
The greatest common divisor of numbers 32, 75, 24, 13 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 32, 75, 24, 13 is 1.

1. What is the GCD of 32, 75, 24, 13?

GCD of given numbers 32, 75, 24, 13 is 1

2. How to calculate the greatest common divisor of 32, 75, 24, 13?

We can find the highest common divisor of 32, 75, 24, 13 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 32, 75, 24, 13 i.e 1.

3. How can I use the GCD of 32, 75, 24, 13Calculator?

Out the numbers 32, 75, 24, 13 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.