HCF of 3 and 5 is the largest possible number which divides 3 and 5 without leaving any remainder. The methods to compute the HCF of 3, 5 are explained here.
For better understanding, let's solve some examples of HCF of two numbers by prime factorization. We will find the HCF of 56 and 84. Let's represent the numbers using the prime factorization. So, we have, 56 = 2 × 2 × 2 × 7 and 84 = 2 × 2 × 3 × 7 . Now, HCF of 5...
From the word itself,Prime Factorizationis a method of getting the factors of a number that areprime numbers. Whether we are using Factor Tree or Tabular Division, our goal is to end up with prime factors, multiply them and declare it as the HCF. The first five prime numbers are 2, 3,...
HCF of 36 and 84 is the largest possible number which divides 36 and 84 without leaving any remainder. The methods to compute the HCF of 36, 84 are explained here.
⇒ Since 2, 2, 3 are common terms in the prime factorization of 84 and 144. Hence, HCF(84, 144) = 2 × 2 × 3 = 12 ☛Prime Numbers Download FREE Study Materials HCF and LCM HCF and LCM Worksheet HCF and LCM Worksheet
Factors of 105 = 1, 3, 5, 7, 15, 21, 35, 105 Therefore, the HCF of 90 and 105 is 15. Example 2: For two numbers, HCF = 15 and LCM = 630. If one number is 105, find the other number. Solution: Given: HCF (z, 105) = 15 and LCM (z, 105) = 630 ...
To find the HCF of 504 and 980, we will find theprime factorizationof the given numbers, i.e. 504 = 2 × 2 × 2 × 3 × 3 × 7; 980 = 2 × 2 × 5 × 7 × 7. ⇒ Since 2, 2, 7 are common terms in the prime factorization of 504 and 980. Hence, HCF(504, 980) ...
How to Find the HCF of 18 and 45 by Prime Factorization? To find the HCF of 18 and 45, we will find theprime factorizationof the given numbers, i.e. 18 = 2 × 3 × 3; 45 = 3 × 3 × 5. ⇒ Since 3, 3 are common terms in the prime factorization of 18 and 45. Hence,...
Example 1: Calculate the HCF of 12, 16, and 28 using LCM of the given numbers. Solution: Prime factorization of 12, 16 and 28 is given as, 12 = 2 × 2 × 3 16 = 2 × 2 × 2 × 2 28 = 2 × 2 × 7 LCM(12, 16) = 48, LCM(16, 28) = 112, LCM(28, 12) = 84,...
Given: HCF = 12 and product of numbers = 4320 ∵ LCM × HCF = product of numbers ⇒ LCM = Product/HCF = 4320/12 Therefore, the LCM is 360. Example 3: Find the HCF of 60 and 72, if their LCM is 360. Solution: ∵ LCM × HCF = 60 × 72 ...