Question

Hcf of 224,1500,1440 by long division method

Answer 1

Given:

• The numbers 224, 1440 and 1500

To find:

• The hcf of 224, 1440 and 1500

Solution:

• Method: In long division method for finding hcf, by the smallest number, we divide the number greater than it. We will get a remainder and then by the remainder, we divide the divisor. We continue this way untill a divided becomes divisible. Then we divide the next big number by it and continue divison until no number is left.

Step 1: divide 1440 by 224

224 ) 1440 ( 6

- 1344

_____

96 ) 224 ( 2

- 192

____

32 ) 96 ( 3

- 96

____

0

Here the divisor is 32.

Step 2: divide 1500 by 32.

32 ) 1500 ( 46

- 128

_____

220

- 192

____

28 ) 32 ( 1

- 28

___

4 ) 28 ( 7

- 28

____

0

Here the divisor is 4 and no other number is left to continue.

Answer:

• HCF of 224, 1440 and 1500 is 4.

Answer 2

Given :

224, 1500, 1440

To find :

find the HCF of the given numbers by long division method

Solution :

Refer Attachment for the HCF of 224, 1500, and 1440 by long division method.

HCF :-

• HCF is abbreviated as Highest Common Factor. It is also known as the Greatest Common Divisor(GCD).

• HCF is the highest number which divides each of the two or more numbers is called the Highest Common Factor.

Division Method :

• We use the division method for finding the highest common factor of two or more numbers. 

• First, Divide the larger number by smaller numbers.

• Then the remainder becomes divisor and the divisor becomes dividend. This will continue until the remainder is 0.

• The divisor which does not leave a remainder is the H.C.F.