Question
Download Solution PDFA gardener has 1826 red flowers and 2486 yellow flowers. He wants to arrange them into the largest possible equal groups such that each group has the same number of red and yellow flowers. What is the maximum number of flowers in each group?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Red flowers = 1826
Yellow flowers = 2486
Formula used:
We need to find the greatest common divisor (GCD) of the two numbers to determine the largest possible equal groups.
Calculation:
Finding GCD of 1826 and 2486
Prime factorization:
1826 = 2 × 11 × 83
2486 = 2 × 11 × 113
Common factors = 2 × 11
GCD = 2 × 11 = 22
∴ The correct answer is option (4).
Last updated on Jul 16, 2025
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