Mathematics, 04.04.2021 16:00 iceyburh

Of
Find the HCF and LOM
division method
.20, 18. and 20
2, 24, 30 and 36
1

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Answer from: maelonramirez

Method of H.C.F.

We will discuss here about the method of h.c.f. (highest common factor).

The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers.

Let us consider two numbers 16 and 24.

Factor of 16 are → 1, 2, 4, 8, 16

Factor of 24 are → 1, 2, 3, 4, 6, 8, 12, 16

1 × 16, 2 × 8, 4 × 4

1 × 24, 2 × 12, 3 × 8, 4 × 6

We see that the highest common factor of 16 and 24 is 8. In short, the Highest Common Factor is expressed as H.C.F.

Finding H.C.F.

There are three methods of finding H.C.F. of two or more numbers.

1. Factorization Method

2. Prime Factorization Method

3. Division Method

1. H.C.F. by factorization method

Let us consider some examples.

I. Find the H.C.F. of 36 and 45.

Factor of 36 are →

1, 2, 3, 4, 6, 9, 12, 18, 36

Factor of 45 are →

1, 3, 5, 9, 15, 45

1 × 36, 2 × 18, 3 × 12, 4 × 9, 6 × 6

1 × 45, 3 × 15, 5 × 9

The common factors of 36 and 45 are 1, 3, 9.

The highest common factor is 9.

II. Find the HCF of 12, 48 and 72.

Let us first list all the factors of each number.

Factors of 12 are 1, 2, 3, 4, 6 and 12

Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48

Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

The common factors of 12, 48 and 7 are 1, 2, 3, 4, 6 and 12.

The highest common factor is 12.

2. H.C.F. by prime factorization method

Let us consider an example.

Find the H.C.F. of 24, 36 and 48.

First we find the prime factors of 24, 36 and 48.

Method of H.C.F.

24 = 2 × 2 × 2 × 3

36 = 2 × 2 × 3 × 3

48 = 2 × 2 × 2 × 2 × 3

The common prime factors = 2, 2, 3

H.C.F. = 2 × 2 × 3 = 12

Answer from: Quest

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft 60 sec 60 min 158400 ft

* * =

1 sec 1 min 1 hour hour

we know that there are 5280 ft per mile

158400 ft 1 mile 30 miles

* =

1 hour 5280 ft 1 hour

so in 1 hour it can travel 30 miles

Answer from: Quest

sounds & other waves originate from any vibrating object

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Of
Find the HCF and LOM
division method
.20, 18. and 20
2, 24, 30 and 36
1...