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India
Class X

HCF and LCM using Factor Trees

Interactive practice questions

Consider the following list of prime factors:

$168=2\times2\times2\times3\times7$168=2×2×2×3×7 and

$882=2\times3\times3\times7\times7$882=2×3×3×7×7.

Find the highest common factor of $168$168 and $882$882 by using the list of prime factors.

Easy
1min

Consider the following list of prime factors:

$6125=5\times5\times5\times7\times7$6125=5×5×5×7×7 and

$420175=5\times5\times7\times7\times7\times7\times7$420175=5×5×7×7×7×7×7.

Easy
1min

Consider the following list of prime factors:

$25000=5\times5\times5\times5\times5\times2\times2\times2$25000=5×5×5×5×5×2×2×2 and

$4000=5\times5\times5\times2\times2\times2\times2\times2$4000=5×5×5×2×2×2×2×2.

Easy
1min

Consider the following list of prime factors:

$42525=3\times3\times3\times3\times3\times5\times5\times7$42525=3×3×3×3×3×5×5×7 and

$275625=3\times3\times5\times5\times5\times5\times7\times7$275625=3×3×5×5×5×5×7×7.

Easy
1min
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Outcomes

10.NS.RN.1

Euclid’s division lemma, Fundamental Theorem of Arithmetic – statements after reviewing work done earlier and after illustrating and motivating through examples. Proofs of results – irrationality of √2,√3,√5, decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.

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