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Zara wants to share 28 lilies and 20 violets between some vases so that each vase contains the same number of lilies and each vase contains the same number of violets. What is the largest number of vases that Zara could put the lilies and violets into?

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Zara wants to share 28 lilies and 20 violets between some vases so that each vase contains the same number of lilies and each vase contains the same number of violets. What is the largest number of vases that Zara could put the lilies and violets into?

Zara wants to share 28 lilies and 20 violets between some vases so that each vase contains the same number of lilies and each vase contains the same number of violets. What is the largest number of vases that Zara could put the lilies and violets into?

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QuentinMaster · Tutor for 5 years

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<p> 4</p>

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<p> <br />1. The problem is asking for the largest number of vases such that each vase contains the same number of lilies and the same number of violets.<br />2. This is equivalent to finding the greatest common divisor (GCD) of the number of lilies (28) and the number of violets (20).<br />3. The GCD of 28 and 20 is 4.<br />4. Therefore, Zara can use 4 vases, with each vase containing 7 lilies (28 ÷ 4) and 5 violets (20 ÷ 4).<br /></p>
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