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Find the HCF of 2.8, 11.2 and 0.84 .
Question

Find the HCF of 2.8, 11.2 and 0.84 .

A.

28.0

B.

0.28

C.

2.80

D.

0.028

Correct option is B

Given:
Numbers: 2.8, 11.2, 0.84
Solution:
Make the number of decimal places equal for all values:
2.80, 11.20, 0.84
Consider these as integers without decimals:
280, 1120, 84
Find the HCF of 280, 1120, and 84 by prime factorization:
280 = 23×5×72^3 × 5 × 7​​
1120 = 25×5×72^5 × 5 × 7​​
84 = 22×3×72^2 × 3 × 7​​
The common prime factors with the lowest power are 2^2 and 7.
HCF of integers = 22×72^2 × 7​ = 4 × 7 = 28
Since the original numbers have two decimal places, apply two decimal places to the integer HCF:
HCF =28100= \frac{28}{100}​ = 0.28
Final Answer
So the correct answer is (b)

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