FINDING HCF BY PRIME FACTORIZATION METHOD -
The prime factorization method is a technique used to find the highest common factor (HCF) or greatest common divisor (GCD) of two or more numbers. It involves expressing each number as a product of its prime factors and then determining the common prime factors along with their lowest exponents.
Here's how you can use the prime factorization method to find the HCF/GCD of two numbers:
Step.1) Prime Factorization
Step.2) Identify Common Prime Factors
Step.3) Calculate HCF/GCD Multiply the common prime factors with their lowest exponents to find the HCF/GCD: HCF = 2^1 = 2
So, the highest common factor (HCF) of 12 and 18 is 2.
This method can be extended to more than two numbers. Simply repeat the steps for each number and identify the common prime factors with their lowest exponents across all numbers.
Prime factorization is a powerful tool not only for finding the HCF/GCD but also for various other mathematical computations and problem-solving tasks.
The prime factorization method is a technique used to find the highest common factor (HCF) or greatest common divisor (GCD) of two or more numbers by breaking them down into their prime factors. Here's how you can use this method:
Let's walk through an example to illustrate this process:
Example.1) Find the HCF of 48 and 60 using the prime factorization method.
So, the HCF of 48 and 60 is 12.
Using the prime factorization method helps you systematically find the HCF/GCD of numbers by breaking down the numbers into their fundamental prime factors and then identifying the common factors they share. This method is particularly useful when dealing with larger numbers or when you want to understand the factors contributing to the HCF/GCD more clearly.