HCF of 12 and 15 is the largest possible number that divides 12 and 15 exactly without any remainder. The factors of 12 and 15 are 1, 2, 3, 4, 6, 12 and 1, 3, 5, 15 respectively. There are 3 commonly used methods to find the HCF of 12 and 15 - prime factorization, long division, and Euclidean algorithm. Show
What is HCF of 12 and 15?Answer: HCF of 12 and 15 is 3. Explanation: The HCF of two non-zero integers, x(12) and y(15), is the highest positive integer m(3) that divides both x(12) and y(15) without any remainder. Methods to Find HCF of 12 and 15Let's look at the different methods for finding the HCF of 12 and 15.
HCF of 12 and 15 by Prime FactorizationPrime factorization of 12 and 15 is (2 × 2 × 3) and (3 × 5) respectively. As visible, 12 and 15 have only one common prime factor i.e. 3. Hence, the HCF of 12 and 15 is 3. HCF of 12 and 15 by Listing Common Factors
There are 2 common factors of 12 and 15, that are 1 and 3. Therefore, the highest common factor of 12 and 15 is 3. HCF of 12 and 15 by Long DivisionHCF of 12 and 15 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
The corresponding divisor (3) is the HCF of 12 and 15. ☛ Also Check:
HCF of 12 and 15 Examples
Show Solution > go to slidego to slidego to slide Ready to see the world through math’s eyes? Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. Book a Free Trial Class FAQs on HCF of 12 and 15What is the HCF of 12 and 15?The HCF of 12 and 15 is 3. To calculate the HCF of 12 and 15, we need to factor each number (factors of 12 = 1, 2, 3, 4, 6, 12; factors of 15 = 1, 3, 5, 15) and choose the highest factor that exactly divides both 12 and 15, i.e., 3. How to Find the HCF of 12 and 15 by Prime Factorization?To find the HCF of 12 and 15, we will find the prime factorization
of the given numbers, i.e. 12 = 2 × 2 × 3; 15 = 3 × 5. How to Find the HCF of 12 and 15 by Long Division Method?To find the HCF of 12, 15 using long division method, 15 is divided by 12. The corresponding divisor (3) when remainder equals 0 is taken as HCF. What are the Methods to Find HCF of 12 and 15?There are three commonly used methods to find the HCF of 12 and 15.
What is the Relation Between LCM and HCF of 12, 15?The following equation can be used to express the relation between Least Common Multiple (LCM) and HCF of 12 and 15, i.e. HCF × LCM = 12 × 15. If the HCF of 15 and 12 is 3, Find its LCM.HCF(15, 12) × LCM(15, 12) = 15 × 12 12 और 15 का HCF क्या होगा?इस स्थिति में, 1 को छोड़कर कोई उभयनिष्ट प्राथमिक गुणनखंड नहीं है। 8, 12 और 15 का महत्तम समापवर्तक 1 है।
12 15 और 21 का एलसीएम क्या होगा?∴ अभीष्ट परिणाम 420 होगा। Ace your Quantitative Aptitude and Number System preparations for LCM and HCF with us and master LCM for your exams.
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