Answer :
Al garden i 18 feet long and 30 feet wide. He want to put fence pot the ame distance apart along all ide of the garden, 6 feet is the greatest distance apart that Al can place the fence pot. Using the concept of greatest common factor
What is greatest common factor?
In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero.
A group of numbers' greatest common factor (GCF) is the biggest element that all the numbers have in common. The components 2 and 4 are shared by the numbers 12, 20, and 24, for instance. Since four is the biggest, we refer to the GCF of 12, 20, and 24 as four. A typical method for locating common denominators is GCF.
Need to find the greatest common factor between 18 and 30.
These numbers can be expressed as follows (using multiplication of prime numbers): .
18 = 2×3×3
30 = 2×3×5
2×3 = 6 appears in both cases and is the greatest common factor;
Therefore, 6 feet is the greatest distance apart that Al can place the fence post.
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