State the H.C.F of 2³×5 ×11, 2²×3²×5² and 2×5²×3×11 as a product of primes only.
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Answer:
HCF = 2×5
HCF(2³×5 ×11, 2²×3²×5² and 2×5²×3×11) = 2 × 5
Step-by-step explanation:
We know that lowest degree of common prime factors of the numbers is the HCF of the numbers.
And here common prome factors are 2 and 5 where there lowest degrees are 1.
Thus,
HCF = 2×5 = 10
HCF(2³×5 ×11, 2²×3²×5² and 2×5²×3×11) = 2 × 5
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