A carpenter has two lengths of wood; one is 108cm long and the other is 72cm long. He wants to cut them up to produce smaller pi eces of wood to build a shelving unit so they all need to be the same length, with no wood left over. What is the greatest length, in cm, that he can make the shelves?
2 answers:
Answer: He needs 36 cm to make the shelves.
Step-by-step explanation:
Since we have given that
Length of first wood = 108 cm
Length of second wood = 72 cm
We need to find the greatest length so that he can make the shelves.
Greatest length = h.c.f. of 108 and 72 { 36 cm.
Hence, he needs 36 cm to make the shelves.
Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:
3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:
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