Some of the important tricks to find the HCF and LCM are given below:
- The HCF of given numbers is never greater than any of the numbers.
- The LCM of given numbers is never less than any of the numbers.
- The HCF of two or more prime numbers is always 1.
- The LCM of two or more prime numbers is nothing but their product.
What is the HCF rule?
Highest Common Factor(HCF) of two or more numbers is the greatest number which divides each of them exactly. Example : HCF of 60 and 75 = 15 because 15 is the highest number which divides both 60 and 75 exactly. We can find out HCF using prime factorization method or by dividing the numbers or division method.
What is HCF * LCM?
The Highest Common Factor (HCF) of two or more given numbers is the largest number which divides each of the given numbers without leaving any remainder. The Lowest Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.
Why do we use HCF?
To split things into smaller sections. To equally distribute any number of sets of items into their largest grouping. To figure out how many people we can invite. To arrange something into rows or groups.
What are the properties of HCF of two numbers?
The properties of HCF are given below. HCF of two or more numbers divides each of the numbers without a remainder. HCF of two or more numbers is a factor of each of the numbers. HCF of two or more numbers is always less than or equal to each of the numbers. HCF of two or more prime numbers is 1 always.
What are the properties of LCM and HCF?
Definition of LCM and HCF Lowest Common Multiple (LCM): The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60. Highest Common Factor (HCF): The largest or greatest factor common to any two or more given natural numbers is termed as HCF of given numbers.
What are the properties of the H.C.F?
Some properties concerning the H.C.F. and the L.C.M. of numbers are: Property 1: The H.C.F. of given numbers is not greater than any of the numbers. Verification: H.C.F. of 161 and 345. We can see that the H.C.F. of 161 and 345 is 23 which is not greater than any of the given numbers.
How to find the highest factor in HCF?
FACTORIZATION METHOD. In the hcf by factorization method,we find the greatest common factor by listing down the factors of the numbers. Step 1: List down the factors of all the given numbers. Step 2: Look for the highest factor among the listed factors which are common for both the given numbers. Let us take an example:
