Sage-Tips

How do you find the HCF of 3 numbers by prime factorization?

HCF by Prime Factorization

1. Find the prime factors of each of the given number.
2. Next, we identify the common prime factors of the given numbers.
3. We then multiply the common factors. The product of these common factors is the HCF of the given numbers.

How do you find the HCF of 3 numbers by division?

To find out HCF of three given numbers using division method, Step 1: Find out HCF of any two numbers. Step 2: Find out the HCF of the third number and the HCF obtained in step 1. Step 3: HCF obtained in step 2 will be the HCF of the three numbers.

How do you find the HCF method?

Solution: Step 1: Divide the largest number by the smallest number. Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder. Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers.

How do you find the HCF and LCM using prime factorization?

Start by writing 24 and 180 as the product of their prime factors. To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.

How to find the HCF of numbers using prime factorization method?

Follow the below-given steps to find the hcf of numbers using prime factorisation method. Step 1: Write each number as a product of its prime factors. This method is called here prime factorization. Step 3: The product of all common prime factors is the HCF ( use the lower power of each common factor) Let us understand with the help of examples.

How to find the HCF of a given natural number?

HCF By Prime Factorization method: Given natural numbers are written as the product of prime factors. To obtain the highest common factor multiply all the common prime factors with the lowest degree (power). Example 1: Find the HCF of 20 and 12 by prime factorization method.

How to do prime factorization step by step?

Step 1: Write each number as a product of its prime factors. This method is called here prime factorization. Step 3: The product of all common prime factors is the HCF ( use the lower power of each common factor) Let us understand with the help of examples. Example 1: Evaluate the HCF of 60 and 75.

How do you find the highest common factor of two numbers?

HIGHEST COMMON FACTOR (HCF) By Prime Factorization method: Given natural numbers are written as the product of prime factors. To obtain the highest common factor multiply all the common prime factors with the lowest degree (power).

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