What is HCF formula?

What is HCF formula?

HCF is the highest or greatest common divisor of any two or more natural numbers. There are two methods of determining the HCF of a number: Prime Factorization Method: Two or more numbers are expressed as the product of their prime factors. HCF = Product of the common prime factors with the lowest powers.

What is LCM formula?

1) For two given numbers if we know their greatest common divisor i.e. GCD, then LCM can be calculated easily with the help of given formula: LCM = \frac{a × b}{(gcd)(a,b)}

How do you find HCF and LCM in aptitude?

H.C.F and L.C.M of fractions

1. H.C.F = H.C.F of Numerators⁄L.C.M of Denominators
2. L.C.M = L.C.M of Numerators⁄H.C.F of Denominators

What is relation between HCF and LCM?

The Relation Between HCF and LCM of co-prime numbers is the product of the numbers = LCM of Co-Prime numbers, as the HCF of co-prime numbers is equal to 1.

What is HCF and LCM Class 10?

HCF is the product of all prime factors COMMON to the two numbers. The product of the two numbers is the product of all prime factors of the two numbers. To get the LCM, one instance of the prime factors in HCF must be dropped from the set of all prime factors in the product of two numbers.

What are the rules of HCF and LCM?

HCF and LCM Formula and Tricks

• Product of two numbers = Product of their HCF and LCM.
• Two numbers are said to be co-prime if their HCF is 1.
• HCF = HCF of Numerators/LCM of denominators.
• LCM = LCM of Numerators/ HCF of Denominators.

What is HCF and LCM in maths?

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.

Who discovered LCM?

The Euclidean Algorithm is an efficient way of computing the GCD of two integers. It was discovered by the Greek mathematician Euclid, who determined that if n goes into x and y, it must go into x-y. The least common multiple , also known as the LCM, is the smallest number that is divisible by both integer a and b.

What does HCF and LCM mean?

The full forms of H.C.F. and L.C.M. are, Highest Common factor and Least Common Multiple , respectively. The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers.

How do you calculate least common multiple?

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

How do you calculate the least common denominator?

To find the least common denominator, simply list the multiples of each denominator (multiply by 2, 3, 4, etc. out to about 6 or seven usually works) then look for the smallest number that appears in each list. Example: Suppose we wanted to add 1/5 + 1/6 + 1/15.

How do you calculate the greatest common factor?

To find the greatest common factor (GCF) between numbers, take each number and write it’s prime factorization. Then, identify the factors common to each number and multiply those common factors together.