GCD of 472, 726, 24 Calculator

Given Input numbers are 472, 726, 24

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 24 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (472, 726, 24) = 2.

Given numbers are 472, 726, 24

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 726 are 2 x 3 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 472, 726, 24 is 2.

Given numbers are 472, 726, 24

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

Apply this formula for all numbers.

Step1:

LCM(472, 726) = 171336

GCD(472, 726) = ( 472 x 726 ) / 171336

= 472 / 726

= 472

Step2:

LCM(2, 24) = 24

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

= 2 / 24

= 2

So, Greatest Common Divisor of 472, 726, 24 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 691, 10
• GCD of 950, 498, 36
• GCD of 401, 870, 54
• GCD of 587, 463, 99
• GCD of 235, 436, 43

Given numbers are 472, 726, 24
The greatest common divisor of numbers 472, 726, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 726, 24 is 2.

1. What is the GCD of 472, 726, 24?

GCD of given numbers 472, 726, 24 is 2

2. How to calculate the greatest common divisor of 472, 726, 24?

We can find the highest common divisor of 472, 726, 24 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 472, 726, 24 i.e 2.

3. How can I use the GCD of 472, 726, 24Calculator?

Out the numbers 472, 726, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.