Finding HCF of 12576 and 4052 using Long Division Method

The long division method is a simple way to find the highest common factor (HCF) of two numbers. It involves dividing the larger number by the smaller number, and then dividing the remainder by the previous divisor, until the remainder becomes zero. The last divisor used is the HCF of the two numbers.

Step 1: Write the two numbers in a division format

12576 | 4052

Step 2: Divide the smaller number by the largest number

12576 | 4052
---------
3

Step 3: Multiply the quotient obtained in step 2 by the smaller number and subtract it from the larger number

12576 | 4052
---------
3
---------
2568
------
1484

Step 4: Divide the previous divisor (4052) by the remainder (1484)

12576 | 4052
---------
3
---------
2568
------
1484 | 4052
-----
3

Step 5: Multiply the quotient obtained in step 4 by the remainder and subtract it from the previous remainder

12576 | 4052
---------
3
---------
2568
------
1484 | 4052
-----
3
-----
1444

Step 6: Repeat steps 4 and 5 until the remainder becomes zero

12576 | 4052
---------
3
---------
2568
------
1484 | 4052
-----
3
-----
1444 | 1484
-----
2

Step 7: The last divisor used (2) is the HCF of the two numbers

Therefore, the HCF of 12576 and 4052 is 2.

Conclusion

The long division method is a simple and effective way to find the highest common factor of two numbers. It involves dividing the larger number by the smaller number, and then dividing the remainder by the previous divisor, until the remainder becomes zero. The last divisor used is the HCF of the two numbers.