LCM AND HCF
H.C.F by using factors
To find the Highest Common Factor (HCF) of two or more numbers using their factors, you can follow these steps
List the factors:
Identify all the factors of each number.
Factors are the numbers that divide a given number exactly without leaving a remainder.
Find common factors:
Identify the common factors that are present in all the lists.
Multiply common factors:
Multiply all the common factors found in step 2.
Result:
The product obtained in step 3 is the HCF of the given numbers.
Let's take an example to illustrate the process. Find the HCF of 24 and 36
Step 1: List the factors
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: Find common factors
Common factors: 1, 2, 3, 4, 6, 12
Step 3: Multiply common factors
HCF = 1 * 2 * 3 * 4 * 6 * 12 = 144
Step 4: Result
The HCF of 24 and 36 is 144
Keep in mind that this method can be extended to more than two numbers. Just list the factors of each number and find the common factors among them. If there are no common factors other than 1, then the HCF is 1
Example- I: Find H.C.F of 8, 12
Factors of 8 are 1,2,4 and 8
Factors of 12 are 1,2,4,3,6,12
Common factors of 8,12 are 1, 2, 4
H.C.F of 8 and 12 is 4
Example - II: Find H.C.F of 36, 48, 52
Factors of 36 are 1,2,3,4,6,9,12,18,36
Factors of 52 are 1,2,4,13,26,52
Common factors are 2,4, = H.C.F = 4