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The greatest possible length which can be used to measure exactly the length 5 m 25 cm,7 m 35 cm and 4 m 90 cm is
Question

The greatest possible length which can be used to measure exactly the length 5 m 25 cm,7 m 35 cm and 4 m 90 cm is

A.

25 cm

B.

55 cm

C.

35 cm

D.

45 cm

Correct option is C

Given:

Length given are 5m 25cm, 7m 35cm and 4m 90cm

Formula Used:

HCF and LCM

1m = 100cm

Solution:

5m 25cm = 525cm

7m 35cm =735cm

4m 90cm = 490cm

HCF of 525cm,735cm and 490m

525 = 3×52×73 \times 5^2 \times 7​​

735 = 3×52×73 \times 5^2 \times 7​​

490 = 2×5×722 \times 5 \times 7^2​​

HCF = 5×7=35cm5 \times 7 = 35cm​​

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