Using the relation between H.C.F. and L.C.M., Complete the following table. First number ( m ) Second number ( n ) H.C.F. of m and n L.C.M. of m and n 2190 _____ 2 140160 324 234 18 _____ _____ 2120 106 2120 980 890 _____ 87220 580 _____ 20 24940 748 _____ 44 14960

We know that, The product of the H.C.F. and L.C.M. of two numbers is equal to the product of the two numbers. In first row of the table, ⇒ 2190 × n = 2 × 140160 ⇒ n = 2 × 140160 2190 ⇒ n = 128 In second row of the table, ⇒ 324 × 234 = 18 × L . C . M . ⇒ L . C . M . = 324 × 234 18 ⇒ L . C . M . = 4212 In third row of the table, ⇒ m × 2120 = 106 × 2120 ⇒ m = 106 In fourth row of the table, ⇒ H . C . F . × 87220 = 980 × 890 ⇒ H . C . F . = 872200 87220 ⇒ H . C . F . = 10 In fifth row of the table, ⇒ 580 × n = 20 × 24940 ⇒ n = 498800 580 ⇒ n = 860 In sixth row of the table, ⇒ 748 × n = 44 × 14960 ⇒ n = 658240 748 ⇒ n = 880 Thus, using the relation between H.C.F. and L.C.M., we have the completed the given table. First number ( m ) Second number ( n ) H.C.F. of m and n L.C.M. of m and n 2190 128 2 140160 324 234 18 4212 106 2120 106 2120 980 890 10 87220 580 860 20 24940 748 880 44 14960

E M B I B E

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 12

HARD

6th ICSE

IMPORTANT

Earn 100

How many square-shaped pieces of metal sheet of the largest possible size can be made out of a rectangular sheet of $220 cm$ in length and $75 cm$ in breadth without wastage of sheet?

50% studentsanswered this correctly

Important Questions on Playing With Numbers

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 13

Three iron rods of lengths

72 cm, 128 cm and 152 cm

are to be cut into pieces of equal length. Find the maximum length of each piece that can be cutout such that no wastage of rod occurs.Also, find the total number of pieces that can be cutout.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 14

Find the greater number that divides

67 and 96

leaving remainders

2 and 5

, respectively.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 15

Can two numbers

91 and 117

have

18

as their H.C.F. and

364

as their L.C.M.? Give reasons to justify your answer.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 16

The L.C.M. of

90 and 108 is 540

. Find their H.C.F.

MEDIUM

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 17

The L.C.M. of two numbers is

156

and their H.C.F. is

13

. If one of the numbers is

39

, find the other.

MEDIUM

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 18

The H.C.F. of

1, 225 and 1, 500 is 25

. Find their L.C.M.

HARD

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 19

Can two numbers have

1440

as their L.C.M. and

54

as their H.C.F.? Give reasons to support your answer.

MEDIUM

6th ICSE

IMPORTANT

Cambridge connection Mathematics>Chapter 6 - Playing With Numbers>Let's Practice>Q 20

Using the relation between H.C.F. and L.C.M., Complete the following table.

First number ( $m$ )	Second number ( $n$ )	H.C.F. of $m and n$	L.C.M. of $m and n$
$2190$	_____	$2$	$140160$
$324$	$234$	$18$	_____
_____	$2120$	$106$	$2120$
$980$	$890$	_____	$87220$
$580$	_____	$20$	$24940$
$748$	_____	$44$	$14960$