Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Victoria has two pieces of thread, one $12$ feet long and the other $8$ feet long. For a sewing project, she needs to cut them up to produce many pieces of thread that are all of the same length, with no thread left over. What is the greatest length, in feet, that she can make them? $\newline$ $\_\_\_\_\_$ feet

View step-by-step help

View step-by-step help

GCF and LCM: word problems

Full solution

Q. Victoria has two pieces of thread, one

12

feet long and the other

8

feet long. For a sewing project, she needs to cut them up to produce many pieces of thread that are all of the same length, with no thread left over. What is the greatest length, in feet, that she can make them?

\newline

\_\_\_\_\_

feet

Identify Problem Requirement: Identify the problem requirement. $\newline$ We need to find the maximum length of thread pieces that can be cut from both lengths without any leftover. This involves finding the Greatest Common Divisor (GCD) of the two lengths.
List Divisors: List the divisors of each length. $\newline$ $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$ $\newline$ $8$ : $1$ , $2$ , $4$ , $8$
Find GCD: Find the GCD of $12$ and $8$ . The common divisors are $1$ , $2$ , and $4$ . The greatest of these is $4$ .
Conclusion: Conclusion. $\newline$ The greatest length of thread that can be cut from both pieces without any leftover is $4$ feet.

More problems from GCF and LCM: word problems

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 9 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 9 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 9 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 7 months ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 8 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 10 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 8 months ago

Question

Find the greatest common factor of

75

8

21

Posted 10 months ago

Question

Find the greatest common factor of

110

40

120

Posted 10 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant