MathsFreePrintable
HCF, LCM, and Fractions
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
HCF, LCM, and Fractions
Show your working where useful. Give fraction answers in simplest form unless the question asks for a common denominator.
HCF and simplifying fractions
1.The greatest common factor of 28 and 42 is 14. Divide the numerator and denominator of 28/42 by 14. What is the fraction in simplest form?
2.Which option gives 18/30 in simplest form?
- 3/5
- 6/10
- 9/15
- 2/5
3.A craft club has 24 green beads and 36 yellow beads. The beads are sorted into identical kits, with no beads left over. What is the greatest number of kits that can be made?
4.Simplify each fraction fully: (a) 15/25 (b) 32/40 (c) 27/45.
5.Match each task to the number operation that is most useful.
- Reduce 35/49 to simplest form
- Write 2/7 and 3/5 with a common denominator
- Split 18 red counters and 30 blue counters into the greatest number of equal groups
- Find a common denominator for 4/9 and 5/6
- Find the HCF
- Find the HCF
- Find the LCM
- Find the LCM
LCM and equivalent fractions
6.Find the lowest common multiple of 6 and 8. Then rename 5/6 and 3/8 with that common denominator.
7.A smoothie uses 3/4 cup of yoghurt and 2/5 cup of juice. What is the lowest common denominator you could use to add these fractions?
- 9
- 12
- 20
- 10
8.Rename both fractions in each pair using the lowest common denominator: (a) 2/3 and 5/12 (b) 3/7 and 2/14.
9.Use the two fraction bars to show how 2/3 and 1/2 can be renamed with twelfths. The first bar represents 2/3; draw a second bar divided into 12 equal parts and shade the fraction of the bar that represents 1/2. Then write both equivalent fractions.
Using HCF and LCM with fractions
10.A tray of brownies is cut into 40 equal pieces. Maia takes 28 pieces. What fraction of the tray does she take? Give your answer in simplest form.
11.Choose every true statement.
- The HCF of 20 and 30 is 10.
- The LCM of 4 and 9 is 36.
- 14/21 simplifies to 2/3.
- The LCM of 5 and 8 is 13.
12.In 30/45, the HCF of the numerator and denominator is 15. Explain how dividing both by 15 simplifies the fraction, and state the result.
3 printable pages
Page 1
Page 2
Page 3
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
