Sage-Tips

How do you find the HCF of two equations?

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

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

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

HCF OF TWO POLYNOMIALS BY DIVISION METHOD

1. Step 1 : Let ” f(x) ” and ” g(x) ” be the given polynomials.
2. 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).
3. Step 2 : If it is not zero, then continue the process until we get zero as remainder.

What is the HCF of 2x2y and 3 xy2?

Since, in x2y3 and xy2z, x and y are common. The lowest power of x is x. The lowest power of y is y2. Therefore, the H.C.F. of x2y3 and xy2z is xy2.

How do you find the HCF and LCM of two polynomials?

The relation between L.C.M and H.C.F of polynomials is the product of polynomials is equal to the product of its H.C.F and L.C.M. This relationship can be expressed as follows. p(x) * q(x) = {L.C.M of p(x) and q(x)} * {H.C.F of p(x) and q(x)]}.

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

What is the HCF of numbers?

When finding the factors of two or more numbers, some numbers are found to be common. The greatest factor found from the common factors is called the HCF. Sometimes, it is also called the greatest common factor. Mention the different methods to calculate the HCF of numbers?

What is the difference between HCF and LCM?

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). HCM and LCM are two different methods, whereas LCM or Least Common Multiple is used to find the smallest common multiple of any two or more numbers.

How to find HCF of two numbers using long division?

1 Divide the larger number by the smaller number and check the remainder. 2 Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again. 3 Continue till you get the remainder as 0 and the last divisor will be the HCF of two numbers.