Hcf word problem

Q2. Priti has two pieces of cloth. One piece is 72 metres wide and the other is 90 metres wide. She wants to cut both the pieces into strips of equal width such that the strips are as wide as possible and no cloth is left. How wide should she cut the strips?
 

Dear Student,

Width of first piece = 72 mWidth of second piece = 90 mNow, Priti wants to cut both the pieces into strips of equal width such that strips are as wide as possible.Now, we will find the HCF of 72 and 90.The prime factorisation of 72 and 90 are :72 = 2 × 2 × 2 × 3 × 390 = 2 × 3 × 3 × 5Now, HCF = 2 × 3 × 3 = 18So, required width of each piece = 18 m

Regards

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