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HCF-LCM of Two Numbers or Multiple Numbers
1. Find HCF, LCM of `30,40`
Solution:
Factor of 30,40 are as follows...
2
30
3
15
5
5
1
2
40
2
20
2
10
5
5
1
Find HCF
30 =
2
× 3 ×
5
40 =
2
× 2 × 2 ×
5
HCF =
2
×
5
= 10
HCF of `30,40` is `10`
Find LCM
30 =
2
×
3
×
5
40 =
2
×
2
×
2
×
5
LCM =
2
×
2
×
2
×
3
×
5
= 120
LCM of `30,40` is `120`
2. Find HCF using Division Method of `30,40`
Solution:
Find HCF of (30,40)
1
30
|
4
0
|
3
0
3
|
|
1
0
|
3
0
|
3
0
|
|
0
`:.` HCF of given numbers (30,40) = 10
3. Find LCM using Division Method of `30,40`
Solution:
2
30
40
2
15
20
2
15
10
3
15
5
5
5
5
1
1
LCM of 30,40 = 2 × 2 × 2 × 3 × 5 = 120
4. Find HCF,LCM of `30,40,50,60`
Solution:
Factor of 30,40,50,60 are as follows...
2
30
3
15
5
5
1
2
40
2
20
2
10
5
5
1
2
50
5
25
5
5
1
2
60
2
30
3
15
5
5
1
Find HCF
30 =
2
× 3 ×
5
40 =
2
× 2 × 2 ×
5
50 =
2
×
5
× 5
60 =
2
× 2 × 3 ×
5
HCF =
2
×
5
= 10
HCF of `30,40,50,60` is `10`
Find LCM
30 =
2
×
3
×
5
40 =
2
×
2
×
2
×
5
50 =
2
×
5
×
5
60 =
2
×
2
×
3
×
5
LCM =
2
×
2
×
2
×
3
×
5
×
5
= 600
LCM of `30,40,50,60` is `600`
5. Find HCF using Division Method of `30,40,50,60`
Solution:
Find HCF of (30,40)
1
30
|
4
0
|
3
0
3
|
|
1
0
|
3
0
|
3
0
|
|
0
HCF of (30, 40) = 10
Now find HCF of (10,50)
5
10
|
5
0
|
5
0
|
|
0
HCF of (10, 50) = 10
Now find HCF of (10,60)
6
10
|
6
0
|
6
0
|
|
0
HCF of (10, 60) = 10
`:.` HCF of given numbers (30,40,50,60) = 10
6. Find LCM using Division Method of `30,40,50,60`
Solution:
2
30
40
50
60
2
15
20
25
30
2
15
10
25
15
3
15
5
25
15
5
5
5
25
5
5
1
1
5
1
1
1
1
1
LCM of 30,40,50,60 = 2 × 2 × 2 × 3 × 5 × 5 = 600