You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.
Answer:
a. x = 13m, b. x = 12cm
Step-by-step explanation:
a. x² = 12² + 5² (Pyth. theorem)
x = 13 m
b. 15² = 9² + x² (Pyth. theorem)
x = 12 cm
Answer:
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Step-by-step explanation:
31 and 15
31+15=46
31-15=16
Answer:
$12.5
Step-by-step explanation:
Since prize is split equally.
So, money received by each person
= 75/6
= $12.5