HCF AND LCM
INPUTS • QUICK RESULT • NO KEYPAD CROWDING
12 and 18 have HCF 6.
NEXT = keypad. Page 3 = full working.
NUMBER KEYPAD
ENTER DIGITS • SWITCH BOX • CALCULATE
Editing NUMBER A
Use PREVIOUS for inputs or NEXT for full working.
FULL WORKING
EUCLID STEPS • HCF • LCM • HISTORY
Use NEXT for help, examples and page details.
WHAT THIS TOOL DOES
HIGHEST COMMON FACTOR AND LOWEST COMMON MULTIPLE
This calculator finds the HCF and LCM of two whole numbers.
HCF means highest common factor, also called GCF or GCD.
LCM means lowest common multiple.
Use it for fractions, ratios, common denominators and multiples.
HOW TO USE
ENTER TWO NUMBERS AND CALCULATE
Enter NUMBER A and NUMBER B as whole numbers greater than zero.
Press ENTER to calculate both answers.
Use NEXT or Tab to switch between the number boxes.
Use SWAP, CLEAR or the on-screen keypad inside the Teletext frame.
METHOD
EUCLID ALGORITHM AND LCM FORMULA
The HCF is found using repeated remainders.
When the remainder becomes zero, the last non-zero divisor is the HCF.
The LCM is calculated from the HCF.
LCM = A × B ÷ HCF for positive whole numbers.
EXAMPLES
COMMON HCF AND LCM ANSWERS
12 and 18 gives HCF 6 and LCM 36.
8 and 12 gives HCF 4 and LCM 24.
15 and 25 gives HCF 5 and LCM 75.
7 and 9 gives HCF 1 and LCM 63.
RECENT RESULTS
CALCULATIONS MADE ON THIS PAGE
Press ENTER on Screen 1 to add a result to this list.
USE CASES
FRACTIONS • RATIOS • DENOMINATORS • CYCLES
Students use HCF for simplifying fractions and ratios.
Students use LCM for common denominators and multiple questions.
LCM can help with repeated cycles and timing problems.
Teachers, tutors and parents can check answers with visible working.
WHO USES IT
STUDENTS • TEACHERS • PARENTS
Students use it for GCSE, KS2 and KS3 factor questions.
Teachers use it to show the Euclid method quickly.
Tutors use it when explaining HCF, LCM, GCF and GCD.
Parents use it to check homework and factor-and-multiple answers.
FAQ
HCF AND LCM QUESTIONS
What is HCF? The biggest number that divides both numbers exactly.
What is LCM? The smallest positive multiple shared by both numbers.
Why use Euclid? It finds HCF quickly using remainders.
Formula: LCM = A × B ÷ HCF.
RELATED TOOLS
NEARBY TELETEXT MATHS PAGES
Use nearby Teletext maths tools for fractions, ratios and percentages.
SEARCH TERMS
WAYS PEOPLE FIND THIS TOOL
PAGE DETAILS
INDEXING AND CANONICAL INFORMATION
HCF and LCM Calculator finds factors and multiples from two whole numbers.
It supports HCF, LCM, GCF, GCD and Euclid method searches.
The Google-friendly folder is /hcf-lcm-calculator/.
Canonical URL: https://teletext-tools.com/hcf-lcm-calculator/