Question

alisha has three rolls of streamers to use in decorating the school gym for a dance competition the pink roll is 42 m long white roll is 49 long and the blue roll is 63 m long she wants to cut the roll into strips of equal length and have no material left over what is the greatest length of each strip?​

Answer 1

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$\textbf{Total Role of streamers = 3}$

$\text{Length of red Roll = 42}$

$\text{Length of Yellow Roll = 49}$

$\text{Length of green Roll = 63}$

$⇒42 = 2 \times 3 \times 7$

$⇒49 = 7 \times 7$

$⇒63 = 3 \times 3 \times 7$

$⇒ \textbf{HCF = } 7$

$∴ \textbf{Greatest Length } = 7m$

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