find the HCF of the following numbers by the prime factorization and continued division method 18 27 36
Answers
,27,36 are given numbers.
Prime factorization method:
Prime Factor of 18 = 2*3*3
Prime Factor 0f 27 = 3*3*3
Prime Factor of 36 = 2*2*3*3
The highest common factor (HCF) of two or more numbers is the largest number that is a factor of all of the given numbers.
So, HCF is 3*3 = 9
That's the final answer.
Division method :
To find the H.C.F. of the given number we will follow the following steps:
Step 1 : We divide the bigger number by smaller one.
Step 2: Divide smaller number in step 1 with remainder obtained in step 1.
Step 3 : Divide divisor of second step with remainder obtained in step 2.
Step 4: We will continue this process till we get remainder zero and divisor obtained in end is the required H.C.F.
Please open the attached image.
I hope it will help you.