HCF अब देखते ही निकाल दोगे | HCF Trick

Tips & Tricks to solve LCM & HCF

HCF stands for ‘Highest Common Factor’. To put simply, HCF of two (or more) numbers
is the highest number that divides each of the numbers completely. For example in case of
two numbers, 18 and 24, ‘6’ is their HCF. Why? Because no other number greater than ‘6’
divides 18 and 24 completely.
There is a rule that ‘any number that divides each of the two numbers, also divides their
sum, their difference and the sum and difference of any multiples of two such numbers.

Prime Factorization: In this method, all the numbers are broken down to their prime factors.
And, then common prime factors are multiplied to obtain HCF. To find the HCF of 1365,
1560 and 1755:
Note: Prime factors are the numbers which divide the number completely and are themselves
prime numbers. Prime numbers are numbers that don’t come in the table of any number but 1.
Like 11 is a prime number.
Let’s find prime factors of 1365, 1560 and 1755:
1365: 5×3×7×13
1560: 5×3×2×2×2×13
1755: 5×3×3×3×13
We can see the common Prime Factors which have an equal number of frequency in each of
the numbers are: 5, 3 and 13.
To get HCF, we’ll multiply these numbers. So, HCF = 5×3×13 = 195
So, 195 is the largest number that completely divides 1365, 1560 and 1755.

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0:00 - Intro
0:24 - What is HCF?
0:57 - Trick
1:47 - Example 2
3:00 - Example 3
4:21 - Practice
4:29 - Outro

Editor: Parash Soni
Voice: Piyush Soni

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