Table of Contents

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

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 HCF of the polynomials x6 3×4 3×2 1 and x3 3×2 3x 1?**

∴ The HCF of the polynomials x6 – 3×4 + 3×2 – 1 and x3 + 3×2 + 3x + 1 is (x + 1)3.

**How do you find the HCF of a polynomial using factor?**

HCF OF TWO POLYNOMIALS 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 HCF of 2 and 4?

2

For example, the HCF of 2 and 4 is 2, because 2 is the number which is common to both 2 and 4.

**How do you find the HCF expression?**

Finding H.C.F Using Prime Factorisation Method

- Write each of the algebraic expressions as a product of its prime factors.
- Then you have to make a list of the common factors for the algebraic expressions.
- The product of the prime factors is considered as H.C.F.

**How do you find the HCF of three equations?**

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 of a number with exponents?

Step 2 :To find the HCF, identify common prime factors and find the smallest exponent of these common factors. Now raise these common prime factors to their smallest exponents and multiply them to get HCF.

**What is the HCF of 2x3x5?**

2 2 x 3 x 5 = 60. 3 x 5 2 = 75. The product of all common prime factors is the HCF. The common prime factors in this example are 3 & 5. The lowest power of 3 is 3 and 5 is 5. So, HCF = 3 x 5 = 15

**How to find the HCF of more than 3 numbers?**

1) Calculate the HCF of 2 numbers. 2) Then Find the HCF of 3rd number and the HCF found in step 1. 3) The HCF you got in step 2 will be the HCF of the 3 numbers. The above steps can also be used to find the HCF of more than 3 numbers. Here is a few more example to find the highest common factors. Example 1: Find out HCF of 30 and 45.

## What is the meaning of HCF in math?

HCF – Highest Common Factor The greatest number which divides each of the two or more numbers is called HCF or Highest Common Factor. It is also called the Greatest Common Measure (GCM) and Greatest Common Divisor (GCD).

**What is the HCF of 36 12 24 24 and 48?**

So, they all are common prime factors. We have no common prime factor for the numbers remained at the bottom. So, HCF = 3 × 5 = 15. HCF = 2 × 2 × 3 = 12. Example 3: Find out HCF of 36, 12, 24 and 48. HCF = 2 × 2 × 3 = 12. Steps to find the HCF of any given numbers. Step 2: Divide the divisor of step 1 by the remainder left.

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