{"id":823307,"date":"2024-04-25T15:28:07","date_gmt":"2024-04-25T09:58:07","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=823307"},"modified":"2024-04-25T15:28:07","modified_gmt":"2024-04-25T09:58:07","slug":"basic-concepts-hcf-and-lcm","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-hcf-and-lcm\/","title":{"rendered":"All You Need to Know About HCF and LCM\u00a0"},"content":{"rendered":"\n

HCF and LCM are two mathematical ways to tackle Real numbers<\/strong>. The Full Form of HCF is the Highest Common Factor and is also known as the Greatest Common Divisor. Moreover, the Full Form of LCM is the Least Common Multiple. Furthermore, there are two methodologies that are undertaken to solve HCF and LCM of numbers, which are the Division Method and the Prime Factorisation Method, which we shall explore right here in this blog along with the Examples.\u00a0<\/p>\n\n\n\n

Kindly note:<\/strong> The word \u2018Factor\u2019 is interchangeable with \u2018Divisior.\u2019<\/p>\n\n\n\n

HCF (Highest Common Factor)<\/h2>\n\n\n\n

People use the Highest Common Factor to find the Greatest common divisor between two or more numbers, which helps simplify fractions, solve equations, and understand the fundamental relationship between numbers.<\/p>\n\n\n\n

What is the Formula of HCF by the Division Method?<\/h3>\n\n\n\n

There is no specific formula for calculating the HCF by the Division Method. However, there are Steps to calculate the HCF by the Division Method.\u00a0<\/p>\n\n\n\n

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  1. You need to divide the larger number by the smaller one.\u00a0<\/li>\n\n\n\n
  2. Then divide the divisor by the remainder.\u00a0<\/li>\n\n\n\n
  3. Continue dividing the last divisor by the last remainder until the remainder is zero.\u00a0<\/li>\n\n\n\n
  4. The last divisor is the HCF.<\/li>\n<\/ol>\n\n\n\n

    Example of HCF by the Division Method<\/h3>\n\n\n\n

    For example, when finding the HCF of 24 and 36, you would divide 36 by 24, then 24 by the remainder until the remainder is zero, resulting in the HCF of 12.<\/p>\n\n\n\n

    36 \u00f7 24 = 1 (remainder 12)<\/p>\n\n\n\n

    24 \u00f7 12 = 2 (remainder 0)<\/p>\n\n\n\n

    So, the HCF of 24 and 36 is 12.<\/p>\n\n\n\n

    What is the Formula of HCF by the Prime Factorisation Method<\/h3>\n\n\n\n

    To find the HCF of two numbers using Prime factorisation, express each number as a product of prime factors. Then, take the product of the common prime factors with the lowest powers.<\/p>\n\n\n\n

    Example of HCF by the Prime Factorisation Method<\/h3>\n\n\n\n

    In the prime factorisation method, if we take the numbers 24 and 36, their common prime factors are 2 and 3. So, the HCF is the product of these common prime factors, which is 6.<\/p>\n\n\n\n