Do the following numbers share common factors? If so, which

Aganippe76

Aganippe76

Answered question

2022-07-01

Do the following numbers share common factors? If so, which is the greatest? { 70 ,   84 ,   105 }

Answer & Explanation

Kiana Cantu

Kiana Cantu

Beginner2022-07-02Added 22 answers

Step 1
For questions dealing with numbers, factors, LCM or HCF, ', composite, squares, cubes etc, write the numbers as the product of their ' factors ... this tells you everything about the numbers.
70 = 2 × 5 × 7 10 × 7
84 = 2 × 2 × 3 × 7 12 × 7
105 = 3 × 5 × 7 5 × 21
In this form we can see that they all have the factor 7.
There is no other common factor so 7 is the HCF.

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