HCF (GCF), LCM, LCD of numbers, decimals, fractions calculator

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Solution

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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)

`:.` 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)

HCF of (30, 40) = 10

Now find HCF of (10,50)

HCF of (10, 50) = 10

Now find HCF of (10,60)

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