HCF and LCM are highest and lowest common factors and multiples. Every positive integer can be written as product of prime factors. Prime factor decomposition helps calculate HCF and LCM
HCF is the greatest number that divides two or more numbers exactly. Steps include finding factors of each number and common factors. Common factors can be represented using Venn diagrams
GCD is the largest number that divides two or more numbers without remainder. GCD of any two numbers is never negative or 0. Least positive integer common to any two numbers is always 1
HCF is the largest number that divides exactly into both numbers. LCM is the smallest number that divides exactly into both numbers. HCF is also known as Greatest Common Divisor (GCD)
HCF is the highest number that divides two or more numbers completely. HCF is also called Greatest Common Divisor (GCD). HCF is always less than or equal to each number. HCF of prime numbers is always 1
HCF is the largest number that divides two or more numbers without remainder. LCM is the smallest number among common multiples of given numbers. HCF and LCM are related by formula: HCF × LCM = a × b