HCF of 24 36 and 44 is 4. It is calculated by finding factors, listing multiple, and dividing the largest number by the second largest number of 24, 36, and 44.
In this question for finding the HCF of 24 36 And 44, we will use the prime factorization method, long division method, and listing Common multiple Methods.
All processes are given with step by step check below:
Methods For Finding The HCF of 24 36 And 44
- By Prime Factorization Method
- By Listing Common Multiple
- By Long Division Method
HCF of 24 36 And 44 By Prime Factorization Method
Prime factorization is a process in which a number can be divided into multiple prime numbers ( These numbers are the smallest divisor of given numbers and can not be divided by any other numbers).
For finding the HCF of 24, 36, and 44 by Prime Factorization Method
First of all, we will do the factors of these given numbers.
Factors of 24, 36, and 44
24 = 2X2X2X3
36 = 2X2X3X3
44 = 2X2X11
From what we can see the common factors are 2X2.
Hence The HCF of 24 36 and 44 is 4 by Prime Factorization Method.
HCF of 24 36 And 44 By Listing Common Multiples
For finding the HCF of 286 And 49330 by Listing Common Multiple, we have to find all multiples of the given numbers.
Multiples are the lowest numbers that can divide the given numbers completely.
For finding the HCF of 24, 36, and 44 by Listing Common Multiple, we will write all multiples of these numbers.
Multiples of 24, 36, and 44 are as follow:
24 = 1, 2, 3, 4, 6, 8, 12
36 = 1, 2, 3, 4, 6, 9, 12, 18
44 = 1, 2, 4, 11, 22
Here we can see that the highest common multiple of these numbers is 4.
So, the HCF of 24, 36, and 44 is 4 by listing common multiple.
HCF of 24 36 And 44 By Long Division Methods
For finding the HCF of 24 36 And 44 by the Long division method, we have to follow the following steps:
- Divide the higher number with the second lower number.
- check reminder and now divide second lower number with reminder.
- Now again check the reminder and repeat the process.
- Repeat this process untill you get ZERO (0) reminder.
- Once the reminder is zero divisor will be the HCF of given number.
In our question, we have to find HCF of 24 36 And 44.
Here 44 is the highest number and 36 is the second-largest number.
So, Here we divide 44 by 35 as shown in the above image.
In the last step, we divide 8 by 4 and our reminder becomes 0.
Hence 4 is our HCF by Long Division Method.