The Highest Common Factor (HCF) of 12, 16, and 24 is 4. There are three common methods to find the HCF of these numbers, including listing common factors, prime factorisation, and long division. The HCF is the largest number that can evenly divide 12, 16, and 24. The factors of 12, 16, and 24 are (1, 2, 3, 4, 6, 12), (1, 2, 4, 8, 16), and (1, 2, 3, 4, 6, 8, 12, 24), respectively.
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The HCF of 12, 16 and 24 is 4. This post will guide you on how to calculate the HCF of these numbers using various methods. The HCF is the greatest common factor among these numbers.
Here are the three methods to calculate the HCF:
The prime factorisation of 12, 16 and 24 is:
12 = 2 × 2 × 3
16 = 2 × 2 × 2 × 2
24 = 2 × 2 × 2 × 3
So, the HCF of 12, 16 and 24 is 4.
HCF (12, 16, 24) = 4
After repeatedly performing long division until the remainder is 0, the divisor obtained is the HCF of 12, 16 and 24.
No further division is possible.
So, HCF (12, 16, 24) = 4
The factors of 12, 16 and 24 are:
12: 1, 2, 3, 4, 6, 12
16: 1, 2, 4, 8, 16
24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors are 1, 2, and 4. So, the HCF is 4.
Find the largest number that can divide 12, 16, and 24 completely.
Solution:
The largest number that can divide 12, 16, and 24 without a remainder is their HCF.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 16: 1, 2, 4, 8, 16
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
So, the HCF of 12, 16, and 24 is 4. Therefore, the largest number that can divide 12, 16, and 24 is 4.
What is the HCF of 12, 16 and 24?
The HCF of 12, 16 and 24 is 4. To calculate the HCF (Highest Common Factor) of 12, 16 and 24, we need to factor each number and choose the highest factor that exactly divides 12, 16 and 24, i.e., 4.
How to Find the HCF of 12, 16 and 24 by Prime Factorisation?
To find the HCF of 12, 16 and 24, we will find the prime factorization of given numbers, i.e. 12 = 2 × 2 × 3; 16 = 2 × 2 × 2 × 2; 24 = 2 × 2 × 2 × 3. ⇒ Since 2, 2 are common terms in the prime factorization of 12, 16 and 24. Hence, HCF(12, 16, 24) = 2 × 2 = 4
What are the Methods to Find HCF of 12, 16 and 24?
There are three commonly used methods to find the HCF of 12, 16 and 24. By Long Division By Listing Common Factors By Prime Factorisation
Which of the following is HCF of 12, 16 and 24? 4, 25, 51, 63, 62, 66, 64, 39
HCF of 12, 16, 24 will be the number that divides 12, 16, and 24 without leaving any remainder. The only number that satisfies the given condition is 4.
What is the Relation Between LCM and HCF of 12, 16 and 24?
The following equation can be used to express the relation between LCM and HCF of 12, 16 and 24, i.e. HCF(12, 16, 24) = [(12 × 16 × 24) × LCM(12, 16, 24)]/[LCM(12, 16) × LCM (16, 24) × LCM(12, 24)].