## How do you find the HCF of a polynomial using division?

How to find the Highest Common Factor of Polynomials by Division Method?

- Let us take two polynomials f(x), g(x).
- Divide the polynomials f(x) / g(x) to get f(x) = g(x) * q(x) + r(x).
- If the remainder r(x) is zer0, then g(x) is the highest common factor of polynomials.

### What is the LCM of 14 and 122?

854

Answer: LCM of 14 and 122 is 854.

#### What is HCF and LCM?

The Highest Common Factor (HCF) of two or more given numbers is the largest number which divides each of the given numbers without leaving any remainder. The Lowest Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

**What is LCM and HCF?**

The least common multiple (LCM) of two or more numbers is the smallest number among all the common multiples of the given numbers, whereas, the HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

**What is the formula for finding HCF?**

To find out HCF of two given numbers using division method, Step 1: Divide the larger number by the smaller number. Step 2: Divisor of step 1 is divided by its remainder. Step 3: Divisor of step 2 is divided by its remainder.

## How do you find the HCF of two variables?

HCF OF ALGEBRAIC EXPRESSIONS BY DIVISION METHOD

- Step 1 : Let ” f(x) ” and ” g(x) ” be the given polynomials.
- Step 2 : If the remainder r(x) is not zero, then divide g(x) by r(x) to obtain g(x) = r(x) x q(x) + r₁ (x).
- Step 2 : If it is not zero, then continue the process until we get zero as remainder.

### What is the LCM for 14 and 21?

42

Answer: LCM of 14 and 21 is 42.

#### What is the difference between HCF and LCM?

HCF and LCM The full forms of H.C.F. and L.C.M. are, Highest Common factor and Least Common Multiple, respectively. The H.C.F. defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers.

**How is the HCF of a polynomial obtained?**

(b) The HCF is the product obtained by taking each factor to the lowest power to which it occurs in both the polynomials. For example, The HCF of 23 32 (x – y)3 (x + 2y)2; 2233 (x – y)2 (x + 2y)3 and 32 (x – y)2 (x + 2y) is 32 (x – y)2 (x + 2y). Note- Two or more polynomials are relatively prime if their HCF is 1.

**Is there a worksheet for h.c.m.of polynomials?**

Worksheet on H.C.F. and L.C.M. of Polynomials covers various types of questions. Learn the steps to solve the highest common factor and lowest common multiple of polynomials by checking the sample questions covering different models here.

## How to find the HCF in the division method?

Division method to find the HCF (Shortcut method) 1 Larger number/ Smaller Number 2 The divisor of the above step / Remainder 3 The divisor of step 2 / remainder. Keep doing this step till R = 0 (Zero). 4 The last step’s divisor will be HCF.