To find the Greatest Common Factor (GCF) of three numbers, we need to find the largest number that divides into all three numbers evenly (without leaving a remainder).
Let's solve the first problem:
56, 42, 98
Step 1: List the factors for each number.
*
Factors of 56:
* 1 × 56 = 56
* 2 × 28 = 56
* 4 × 14 = 56
* 7 × 8 = 56
* List: 1, 2, 4, 7, 8, 14, 28, 56
*
Factors of 42:
* 1 × 42 = 42
* 2 × 21 = 42
* 3 × 14 = 42
* 6 × 7 = 42
* List: 1, 2, 3, 6, 7, 14, 21, 42
*
Factors of 98:
* 1 × 98 = 98
* 2 × 49 = 98
* 7 × 14 = 98
* List: 1, 2, 7, 14, 49, 98
Step 2: Find the common factors.
Look at the lists and find numbers that appear in all three.
* Common factors: 1, 2, 7, 14
Step 3: Identify the Greatest Common Factor.
The largest number in the common list is 14.
Let's quickly check:
* 56 ÷ 14 = 4
* 42 ÷ 14 = 3
* 98 ÷ 14 = 7
It works perfectly.
Final Answer: 14
Parent Tip: Review the logic above to help your child master the concept of factoring by greatest common factor worksheet.
