true

Take Class 9 Tuition from the Best Tutors

• Affordable fees
• 1-1 or Group class
• Flexible Timings
• Verified Tutors

Search in

# HCF and LCM - II

Suvam Banerjee
17/03/2021 0 0

Highest Common Factor (HCF): It is also called the Greatest Common divisor. When the greatest number divides perfectly two or more given numbers, the number is called HCF.

Least Common Multiple (LCM): The least number divisible by two or more given numbers; that least number is called LCM of the numbers.

Factor and Multiples: If a number m divides perfectly second number n, then m is called the factor of n and n is called multiple of m.

Rule 1 : 1st number * 2nd number = LCM*HCF

There are two methods for calculating HCF and LCM :

• Factor Method
• Division Method

If the ratio of two numbers is a:b, then numbers are ak and bk, where k is a constant and hence, HCF is k and LCM is abk.

Rule 2 : LCM of fractions = LCM of numerators / HCF of denominators

HCF of fractions = HCF of numerators / LCM of denominators

If there is no common factor between both numbers, then LCM will be the numbers' product.

When a number is divided by a,b or c, leaving remainders p,q or r respectively such that the difference between the divisor and reminder in each case is the same, i.e. (a-p)=(b-q)=(c-r) = t. The least number must be in the form of (k-t), where k is the LCM of a,b and c.

The largest numbers, which when divide a,b and c, give remainders p,q and r respectively, are given by HCF of (a-p), (b-q) and (c-r).

The largest number, which when dividing the numbers a,b and c the remainders are same then the largest number is given by HCF of (a-b), (b-c) and (c-a).

0 Dislike

## Other Lessons for You

How to Use Mnemonics (for All the School Students)
Hi Students, I am going share one of the mnemonics to memorize social studies and any facts to understand conceptually and retaining it for a more extended period: Sun Shoe Tree Door Knife Vicks Heaven Plate Wine Pen Now...
S

Sekhar

Why am I learning Maths when I am not going to use it in everyday life?
A lot of students ask this question with a sense of boredom and servitude, "Why to study math if I can't use it ?". The answer to the question is pretty simple. You do use it in everyday life. Most of...

नी (ले जाना) – परस्मैपदी
(लट् लकार: Present Tense ) एकवचनम् द्विवचनम् बहुवचनम् प्रथमपुरुष: नयति नयतः नयन्ति मध्‍यमपुरुष: नयसि नयथः नयथ उत्‍तमपुरुष: नयामि नयावः नयामः ...

MAIN PRONOUN IN SANSKRIT
PRONOUNS PERSON पुरुष GENDER SINGULAR DUAL PLURAL FIRST ...

Diversity in living organisms
What is the phylum of octopus? Ans: Mollusca What's the mode of nutrition in bacteria? Ans: Both Autotrophic and Heterotrophic Bacteria have endoplasmic reticulum or not? Ans: No, Which sub grup...

### Looking for Class 9 Tuition ?

Learn from Best Tutors on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

X

### Looking for Class 9 Tuition Classes?

The best tutors for Class 9 Tuition Classes are on UrbanPro

• Select the best Tutor
• Book & Attend a Free Demo
• Pay and start Learning

### Take Class 9 Tuition with the Best Tutors

The best Tutors for Class 9 Tuition Classes are on UrbanPro