GCF and LCM

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 4 and 12?

Back

List the factors of each number: Factors of 4: 1, 2, 4; Factors of 12: 1, 2, 3, 4, 6, 12. The GCF is 4.

Front

What is the LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the LCM of 12 and 6?

Back

List the multiples of each number: Multiples of 12: 12, 24, 36; Multiples of 6: 6, 12, 18, 24. The LCM is 12.

Front

What is the GCF of 30 and 36?

Back

The GCF is 6.

Front

How can you use GCF to split students into groups?

Back

The GCF helps determine the largest number of equal groups that can be formed from different quantities.

Front

What is the LCM of 18 and 24?

Back

The LCM is 72.

Front

How do you find the LCM using prime factorization?

Back

Factor each number into primes, then take the highest power of each prime factor.

Front

If two lights blink every 7 seconds and 5 seconds, when will they blink together?

Back

They will blink together every 35 seconds, which is the LCM of 7 and 5.

Front

What is a practical application of finding the GCF?

Back

Finding the GCF can help in simplifying fractions or dividing items into equal parts.