Find the greatest lenght of rod cohieh can measure exactly 42 m,49 m and 84 m. Find also the number of times the rod is contained in each lenght
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In order to find the greatest length of the rod, we'll find the GCF (greatest common factors) of the given numbers.
Let us write the factors of the numbers.
42 = 2×3×7
49 = 7×7
84 = 2×2×3×7
GCF is the common term among all the factors.
We can see that , the common number is 7.
Hence, GCF = 7
Therefore, the greatest length of the rod that can measure the given measurement is 7 m.
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