Connie has 40 apples and 32 oranges.She wants to put all the friuts into several baskets with each typeof fruit has equal number in all baskets.Every basket must contain apples and oranges.What is the maximum of number of baskets of fruits can she obtain?

Since Connie has 40 apples and 32 oranges, to find the number of baskets that would contain equal number of fruits, we find the highest common factor (H.C.F) of both numbers.

So, we write out the prime factorization of each number

40 = 2 × 2 × 2 × 5 = 2³ × 5

32 = 2 × 2 × 2 × 2 × 2 = 2³ × 2² = 2⁵

So, the H.C.F = 2 × 2 × 2 = 2³ = 8

So, there would be 8 baskets of 5 apples and 4 oranges each.

So, the maximum number of baskets of fruits can she obtain is 8.

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Connie has 40 apples and 32 oranges.She wants to put all the friuts into several baskets with each typeof fruit has equal number in all baskets.Every basket must contain apples and oranges.What is the maximum of number of baskets of fruits can she obtain?​

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Connie has 40 apples and 32 oranges.She wants to put all the friuts into several baskets with each typeof fruit has equal number in all baskets.Every basket must contain apples and oranges.What is the maximum of number of baskets of fruits can she obtain?