Question

Complete the chart by filling the cells with H.C.F. of the numbers.

H.C.F.	$15$	$16$	$18$	$32$	$24$
$9$		$1$
$8$			$2$
$4$				$4$
$28$
$40$				$8$

Accepted Answer

Given,

Table is,

H.C.F. $16$ $18$ $32$ $24$ $24$

$9$ $1$

$8$ $2$

$4$ $4$

$28$

$40$ $8$

We, need to complete the given table by filling in the highest common factors of the given numbers.

We, know that,

The Highest Common Factor (H.C.F.) of two numbers is the highest possible number which divides both the numbers exactly.

Therefore, the H.C.F. of the given numbers are as follows,

The first numbers are $9$ , and $15$ , such as,

The highest factor divisible by these numbers is $3$ .

The, next numbers are, $9$ and $16$ ,

The highest factor divisible by these numbers is $1$ .

The H.C.F. of $9$ and $18$ is $9$ .

The H.C.F. of $9$ and $32$ is $1$ .

The H.C.F. of $9$ and $24$ is $3$ .

The H.C.F. of $8$ and $15$ is $1$ .

The H.C.F. of $8$ and $16$ is $8$ .

The H.C.F. of $8$ and $18$ is $2$ .

The H.C.F. of $8$ and $32$ is $8$ .

The H.C.F. of $8$ and $24$ is $8$ .

The H.C.F. of $4$ and $15$ is $1$ .

The H.C.F. of $4$ and $16$ is $4$ .

The H.C.F. of $4$ and $18$ is $1$ .

The H.C.F. of $4$ and $32$ is $4$ .

The H.C.F. of $4$ and $24$ is $4$ .

Hence, the completed table of H.C.F. numbers are as shown below,

H.C.F. $15$ $16$ $18$ $32$ $24$

$9$ $3$ $1$ $9$ $1$ $3$

$8$ $1$ $8$ $2$ $8$ $8$

$4$ $1$ $4$ $1$ $4$ $4$

$28$ $1$ $4$ $2$ $4$ $4$

$40$ $2$ $8$ $2$ $8$ $8$

Kusum Wadhwa and Anju Loomba Solutions for Chapter: Factors and Multiples, Exercise 7: Exercise 3 .4

Kusum Wadhwa Mathematics Solutions for Exercise - Kusum Wadhwa and Anju Loomba Solutions for Chapter: Factors and Multiples, Exercise 7: Exercise 3 .4

Questions from Kusum Wadhwa and Anju Loomba Solutions for Chapter: Factors and Multiples, Exercise 7: Exercise 3 .4 with Hints & Solutions

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