GCF Calculator
GCF Calculator
The Greatest Common Factor (GCF) — also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) — of two or more integers, when at least one of them is not zero, is the largest positive integer that divides all of the given numbers. It is the greatest number you can multiply the shared factors by to reach every one of the numbers.
Advertisement
Factoring
The easiest way is to list out all the factors of each of the given numbers. Once every list is written out, the GCF is the largest number common to all of them.
Prime Factorization
Similar to the factoring method, except this time you list the prime factors of each number and find the common prime factors across all of them. Multiply the highest number of occurrences of each prime factor that is common to every number, and the result is the GCF.
Video: Euclid's Algorithm to calculate GCF
What is GCF?
The GCF Calculator finds a number also known as:
- Greatest common factor (GCF)
- Greatest common denominator (GCD)
- Highest common factor (HCF)
- Greatest common divisor (GCD)
When do I use this in real life?
- Do you want to split things into smaller, identical sections?
- Are you trying to figure out how many identical groups you can make?
- Are you trying to arrange something evenly in rows or groups?
Balloon Arrangements
Brittany is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons, and wants every arrangement to have the same number of each color. What is the greatest number of arrangements she can make if every balloon is used? The answer is the GCF of 32, 24, and 16.
Advertisement
Related pages
Advertisement