The HCF of b and 15 is 3. The HCF of 14 and 2017 Can you explain why?
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Answer:
HCF - Highest Common Factor
The Highest Common Factor (HCF) of two numbers is the highest possible number which divides both the numbers completely. The highest common factor (HCF) is also called the greatest common divisor (GCD).
There are many ways to find the HCF of two numbers. One of the quickest ways to find the HCF of two or more numbers is by using the prime factorization method. Explore the world of HCF by going through its various aspects and properties. Find answers to questions like what is the highest common factor for a group of numbers, easy ways to calculate HCF, its relation with LCM, and discover more interesting facts around them.
HCF Definition
The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers. In simple words, the HCF (Highest Common Factor) of two natural numbers x and y is the largest possible number that divides both x and y. Let us understand this definition using two numbers, 18 and 27. The common factors of 18 and 27 are 1, 3, and 9. Among these numbers, 9 is the highest (largest) number. So, the HCF of 18 and 27 is 9. This is written as: HCF (18,27) = 9. Observe the following figure to understand this concept.