# Aptitude and Reasoning

## HCF AND LCM

HCF (Highest Common Factor)
The HCF of two or more than two numbers is the greatest number that divides each
of them exactly

Product of two numbers = product of their HCF & LCM (Formula)
HCF & LCM of fractions
HCF = HCF of Numerator/ LCM of Denominator
LCM = LCM of Numerator / HCF of Denominator

Example Problem

1) HCF of 8 & 12 = ?

Step 1: Difference of 8 & 12 is = 4
Step 2: 4 divides the 8 and 12 exactly

2) HCF of 21 & 35 = ?

Step 1: Difference of 21 & 35 = 14
= 2 × 7
Step 2: Here, 2 not divides the 21 & 35, therefore discards 2
Step 3: And 7 is divides the 21 & 35 exactly

3) HCF of 27 & 32 = ?

Step 1: Difference of 27 & 32 = 5
Step 2: Here, 5 not divide the both the given numbers exactly
So, HCF = 1

hcf

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