Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

Please select a Category.

Please select a Locality.

No matching category found.

No matching Locality found.

Outside India?

HCF and LCM - II

Suvam Banerjee
17 Mar 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 a 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

Rule 3: If there is no common factor between both numbers, then LCM will be the numbers' product.

Rule 4: 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, then the least number must be in the form of (k-t), where k is the LCM of a,b and c.

Rule 5: 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).

Rule 6: 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
Follow 2

Please Enter a comment


Other Lessons for You

As Dhatoo Roop (अस् धातुरूप)
: (present tense ) : ‍ : ‍ : ...

Arun | 26 Jul

0 0

How to Solve Numericals in Physics?
Are you scared of numerical? Do you think you don't understand them? If yes, then read ahead. See, it might be any exam, but numerical won't leave your back. So let's talk about common problems and their...

Quick Revision Strategy
With exam season fast-approaching, it’s essential to start thinking about managing, planning, and effectively utilising your time. Revision plays a vital role in scoring good in your examination....

Akshaya J. | 17 Mar

1 0

Looking for Class 10 Tuition Classes?

Find best tutors for Class 10 Tuition Classes by posting a requirement.

  • Post a learning requirement
  • Get customized responses
  • Compare and select the best

Looking for Class 10 Tuition Classes?

Find best Class 10 Tuition Classes in your locality on UrbanPro

Post your learning requirement

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more