Question

4. Find the HCF of 30, 42, and 96 prime factorization method.

Answer 1

HCF(30,42 and 96)= 6

Given:

• Three numbers.
• 30, 42, and 96

To find:

• Find HCF of given numbers by prime factorization.

Solution:

Concept to be used:

• Write prime factors of each number.
• Observe the common prime factor/s, thus find the HCF.

Step 1:

Write prime factors of numbers.

$30 = 2 \times 3 \times 5$

$42 = 2 \times 3 \times 7$

$96 = 2 \times 2 \times 2 \times 2 \times 2 \times 3$

Step 2:

Observe the common prime factors.

On observing the prime factors carefully, it is clear that 2 and 3 are common in all.

Thus,

HCF(30,42 and 96)= 2×3

HCF(30,42 and 96)= 6

Thus,

HCF(30,42 and 96)= 6

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Learn more:

1) FIND THE H.C.F. OF 26 AND 91 BY PRIME FACTORISATION METHOD...

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Answer 2

Answer:

Concept:

HCF or Highest Common Factor is the greatest number that divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).

Step-by-step explanation:

Given:

Given Input Data is 30, 42, 96

Find:

HCF of 30, 42, 96

Solution:

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrences in the given inputs are 21 x 31

Multiplying them we get the GCF as 6

The HCF of 30, 42, and 96 is 6

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