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Chapter 4: Q48. (page 179)

Find a possible value of n if the GCF of 30 and a number n is 6. Are there other possible values of n?

Short Answer

Expert verified

The possible value of n is 6 and the other possible value of n is 12,18,24,36,..........

Step by step solution

01

Step -1 - Apply the concept of   GCF

In this, simply use the concept of GCF by finding the prime factor.

02

Step -2 – Find the value of n.

Since, The GCF of 30,n=6

Now, the factor of 30 is: 30=1,2,3,5,6,10,15

The factor of 6 is: 6=1,2,3

So, the possible common factor of 30 and 6 is 2 times 3=6

So, the value of n be 6.

03

Step -3 – Find the other value of n.

Now, to find the other value of n, Since the other possible values of n should be only the multiple of 6 .

So, the other value of n be12,18,24,36,.........

Here, the number 30 cannot be included in this since 30 is a factor of 5 also.

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