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If (72), (108), and (180) are divided by the greatest possible number and each division is exact, what is that number?
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Answer and explanation
Correct answer: (36)
Step 1: The greatest number that divides all exactly is the HCF. Step 2: (72=2^3\times 3^2), (108=2^2\times 3^3), and (180=2^2\times 3^2\times 5). The common smallest part is (2^2\times 3^2=36). Step 3: When the greatest exact divisor is asked, find the HCF.
Frequently asked questions
What is the correct answer to this question?
(36)
Why is this the correct answer?
Step 1: The greatest number that divides all exactly is the HCF. Step 2: (72=2^3\times 3^2), (108=2^2\times 3^3), and (180=2^2\times 3^2\times 5). The common smallest part is (2^2\times 3^2=36). Step 3: When the greatest exact divisor is asked, find the HCF.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.
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