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Why do you factor numbers in algebra?

to find a factor of a number you have to 1. find the hcf (highest common factor) 2. find how many times the hcf goes into your number AND THAT IS YOUR ANSWER!


Can you find the HCF of 3 numbers using euclids division lemma?

Yes.First find the HCF of two of the numbers, then find the HCF of that answer and the third number.In this way you could find the HCF of as many numbers as you want.


What is Highest common factor (HCF) of 27?

Two or more numbers are needed to find their HCF


Does the HCF of any two no is always a factor of their LCM?

If two numbers are expressed as ab and cb this is easier to work out. Assume that a and c have no common prime factors. Thus, the HCF of the two numbers will be b. The LCM is the two numbers multiplied by each other, divided by the HCF. So the LCM will be abc. b is a factor of abc, and so the HCF will always be a factor of their LCM.


Find HCF of 260 and 560?

HCF is the highest common factor of two or more numbers. HCf of 260 and 560 is 20.


What is the highest common factor of 735 and 756?

To find the highest common factor (HCF) of 735 and 756, we can use the Euclidean algorithm. First, divide 756 by 735 to get a quotient of 1 and a remainder of 21. Then, divide 735 by 21 to get a quotient of 35 and a remainder of 0. The last non-zero remainder is 21, so the highest common factor of 735 and 756 is 21.


If LCM and HCF is known of 2 number along with 1 number can you find second number?

Yes: product of a & b = LCM x HCF so b = (LCM x HCF)/a


How do you do a quotient in simplest form?

Suppose you have a quotient in the form X/Y where X and Y are integers, and you wish to find the simplest form of X/Y. First find the highest common factor of X and Y. Suppose HCF(X, Y) = H Then calculate A = X/H and B = Y/H The simplest form is A/B. If you do not know what the HCF is or the HCF is too hard to find then just find any common factor, F. That is, any number that will divide both X and Y. Then a simpler equivalent of X/Y is (X/F)/(Y/F). Find another common factor and repeat. Keep going until you cannot find a common factor. Your last "simpler equivalent" is the answer.


Can the HCF of two numbers be a factor of their LCM?

The HCF is always a factor of the LCM of two numbers. The HCF is a factor of both the numbers which are factors of their LCM. Thus the HCF is also a factor of the LCM of the two numbers.


How do you find the quotient in simplest form?

Find the Highest Common Factor (HCF) of the numerator and denominator of the fraction. Divide both by their HCF and you will have the fraction in its simplest form.


What is the HCF of 27 and 63?

A single number cannot have a common factor.


How do you put the 40 over 100 in simplest form?

Find a common factor of the numerator and denominator and divide both by that common factor. Repeat with the resulting numerator and denominator until the common factor is 1. Alternatively, find the highest common factor (HCF) and divide both by the HCF.