LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

H.C.F - DIVISION METHOD

__FINDING H.C.F VIA DIVISION METHOD :-__

**A) For Two Numbers – EXPLANATION -**

**In this method,**

**§ STEP 1.) First we divide the greater number (dividend) by the smaller number (divisor).**

**§ STEP 2.) The remainder
then becomes the divisor and the first divisor becomes the dividend.**

**§ STEP 3.) The process is repeated
till the remainder
is zero.**

**§ STEP 4.) The last divisor is the H.C.F.**

**SOLVED EXAMPLE:**

**Q. Find the HCF using DIVISION METHOD. (TWO NUMBERS) -**

**1) Find H.C.F of 48 and 128 via Division Method**

__Ans.)__

**Answer : The H.C.F of 48 and 128 is 16. (Ans.)**

**B) For Three Numbers – EXPLANATION -**

**In this method,**

**§ STEP 1.) First we divide the largest number (dividend) by the second largest number
(divisor).**

**§ STEP 2.) The remainder
then becomes the divisor and the first divisor becomes the dividend.**

**§ STEP 3.) The process is repeated
till the remainder
is zero.**

**§ STEP 4.) The last divisor is the H.C.F.**

**§ STEP 5.) The third number is divided by this H.C.F.**

**§ STEP 6.) The same process is repeated till the remainder is zero.**

**§ STEP 7.) The last divisor is the H.C.F of the three numbers.**

**SOLVED EXAMPLE:**

**Q. Find the HCF using DIVISION METHOD.
(THREE NUMBERS) - 105, 135 and 240**

**Ans.)**

**1st PART -**

**The H.C.F of 105 and 135 is 15. **

**2nd PART -**

**Answer : The H.C.F of 105, 135 and 240 is 15. (Ans.)**