Math, asked by amkdbhav, 23 hours ago

find the HCF by division method and reduce to the simplest form 492

Answers

Answered by llMagicLilyll
44

Answer:

We have to find the HCF of 248 and 492. Let us use the prime factorization method. Firstly, we have to write each number as a product of its prime factors. Let us consider 248. We can write 248 in its prime factorization form as

248=23×31

Now let us consider 492.

492=22×3×41

Now, we have to list the common factors of both the numbers.

Common factors of 248 and 492 are 22 .

The product of all common prime factors is the HCF. We have to use the lower power of each common factor.

Therefore, HCF of 248 and 492 is 22=2×2=4

Answered by MissHotBabe
2

\sf\huge\red{Answer:)}

248 \:  =  {2}^{3}  \times 31 \\  492 =  {2}^{2}  \times 3 \times 41 \\ HCF\: is \: 4

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