Question

How can we find HCF of a number​

Answer 1

We can find the highest common factor of a number by listing down all the factors of that number. The greatest factor from that list is the highest common factor.

Answer 2

❒ Question -:

How to find HCF of two numbers

❒ Step-by-step explanation -:

We can find the HCF of any numbers using three methods -:

• Common Factor
• Prime Factorisation
• Division Method

`\small \underline {\underline{\bf Common \: Factor \: Method }}`

`\small \orange{\bf{ Step \: 1 :}}`

• Find all factors of the given number

`\small \blue{\bf{ Step \: 2 :}}`

• Find the common factor

`\small \purple{\bf{ Step \: 3 :}}`

• Find out the highest common factor from the common factor . The highest common factor is the HCF of the number.

`\small \underline{\underline{\bf{ Prime \: Factorisation }}}`

`\small \orange{\bf{ Step \: 1 :}}`

• Find the prime factor of the given number by division method.

`\small \blue{\bf{ Step \: 2 :}}`

• Find out the common prime factor.

`\small \purple{\bf{ Step \: 3 :}}`

• The product of the common prime factor gives the HCF of the number.

`\small \underline{ \underline{\bf{ Division \: Method}}}`

`\small \orange{\bf{ Step \: 1 :}}`

• Divide the greater number by the smaller number. By the remainder in step 1 divide the smaller number

`\small \blue{\bf{ Step \: 2 :}}`

• By the remainder in Step 2 divide the remainder obtained in Step 1.

`\small \purple{\bf{ Step \: 3 :}}`

• Complete in the same way till no remainder is left.

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