Find out the greatest common factor, Mathematics

Assignment Help:

Find out the Greatest Common Factor?

The largest number that is a common factor of two numbers (that is, both numbers share the same factor) is called the greatest common factor. The term is abbreviated as GCF.

To find the GCF of two numbers:

List all the factors of each number.
Find all the factors the two numbers have in common.
Identify the largest factor.

Example: Find the GCF of (36, 42)

Step 1:

The factors of 36 are {1, 2, 3, 4, 6, 9, 12, 18, 36}

The factors of 42 are {1, 2, 3, 6, 7, 14, 21, 42}

Step 2: Compare the numbers and write down the common factors in order from smallest to largest.

The common factors of (36, 42) are {1, 2, 3, 6}.

Step 3: Find the largest number of the common factors.

The number 6 is the largest of the common factors. So, 6 is the GCF of (36, 42).


Related Discussions:- Find out the greatest common factor

Rounding, what is the nearest ten thousand of 92,892?

what is the nearest ten thousand of 92,892?

Describe simplifying fractions with example, Describe Simplifying Fractions...

Describe Simplifying Fractions with example? When a fraction cannot be reduced any further, the fraction is in its simplest form. To reduce a fraction to its simplest form, div

Integers, The set of whole numbers also does not satisfy all our requ...

The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

How many total inches of wood does he have, Eduardo is merging two 6-inch p...

Eduardo is merging two 6-inch pieces of wood with a piece in which measures 4 inches. How many total inches of wood does he have? This problem translates to the expression 6 ×

Linear equations, Linear Equations We'll begin the solving portion of ...

Linear Equations We'll begin the solving portion of this chapter by solving linear equations. Standard form of a linear equation: A linear equation is any equation whi

Calculate values of the derivative, First, see that the right hand side of ...

First, see that the right hand side of equation (2) is a polynomial and thus continuous. This implies that this can only change sign if this firstly goes by zero. Therefore, if the

Round this number to the closest thousandth, It takes the moon an average o...

It takes the moon an average of 27.32167 days to circle the earth. Round this number to the closest thousandth. The thousandths place is the third digit to the right of the dec

Geometry, finding missing values from given triangle diagra m..

finding missing values from given triangle diagra m..

Find a quadratic polynomial having a and ß, If α,β are the zeros of a Quadr...

If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd