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Chapter 4: Q7. (page 177)

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.7. 110, 77

Short Answer

Expert verified

The numbers are not relatively prime andthe greatest common factor is 3

Step by step solution

01

Step-1 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF).

Two or more numbers are relatively prime if their greatest common factor is 1.

02

Step-2 – Factor the numbers

Factor both the numbers 110 and 77.

The factors of 110 are: 110=2脳5脳11

The factors of 77 are: 77=7脳11

03

Step-3 – State the conclusion

From the factorization it can be observed that 11 is common in both the numbers, therefore, the greatest common factor is 11. So, numbers are not relatively prime.

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Most popular questions from this chapter

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.

77, 51

Tell whether the number is prime or composite.

10

Find the greatest common factor of the numbers.

32, 55

Find the GCF. Also, Find whether the numbers are relatively prime or not : 11,55

Write the mixed number as an improper fraction. 513
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