Question

three pieces of timber 42 m 49 m and 63 m long have to be divided into the planks of the same length. what is the greatest possible length of each plank?

Answer 1

we have to find the HCF of the following numbers to find the greatest possible length of each plank


42= 2×3×7

49= 7×7

63= 3×3×7

HCF= 7

The greatest possible length of each plank is 7m

Answer 2

Answer:

The greatest possible length of each plank = 7 meter

Step-by-step explanation:

Length of the three pieces of the timber are given to be : 42 meter , 49 meter and 63 meter

Now, Given that these given pieces of timber are divided into the planks of the same length.

We need to find the greatest possible length of each plank.

So, to find the greatest possible length of each plank we need to find the H.C.F. of the given lengths of the pieces of timber

⇒ H.C.F. of (42 , 49 , 63)

42 = 2 × 3 × 7

49 = 7 × 7

63 = 3 × 3 × 7

So, The H.C.F. is 7

Hence, The greatest possible length of each plank = 7 meter