GCD of 46, 48, 24, 64 Calculator

Given Input numbers are 46, 48, 24, 64

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

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 48 :

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

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

Divisors of 24 :

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

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

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

GCD of numbers is the greatest common divisor

So, the GCD (46, 48, 24, 64) = 2.

Given numbers are 46, 48, 24, 64

The list of prime factors of all numbers are

Prime factors of 46 are 2 x 23

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

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

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 46, 48, 24, 64 is 2.

Given numbers are 46, 48, 24, 64

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

Apply this formula for all numbers.

Step1:

LCM(46, 48) = 1104

GCD(46, 48) = ( 46 x 48 ) / 1104

= 46 / 48

= 46

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2

So, Greatest Common Divisor of 46, 48, 24, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 70, 78, 67
• GCD of 75, 95, 93, 96
• GCD of 99, 10, 80, 31
• GCD of 15, 37, 52, 39
• GCD of 70, 51, 78, 55

Given numbers are 46, 48, 24, 64
The greatest common divisor of numbers 46, 48, 24, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 46, 48, 24, 64 is 2.

1. What is the GCD of 46, 48, 24, 64?

GCD of given numbers 46, 48, 24, 64 is 2

2. How to calculate the greatest common divisor of 46, 48, 24, 64?

We can find the highest common divisor of 46, 48, 24, 64 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 46, 48, 24, 64 i.e 2.

3. How can I use the GCD of 46, 48, 24, 64Calculator?

Out the numbers 46, 48, 24, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.