CLASS-4
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.)