Question

Find the length of the largest which piece of wood used to measure exactly the lengths 4m 50cm
and 6m 30cm woods.( Use repeated subtraction method) answer is 90​

Answer 1

90 cm is the length of largest piece which can measure exactly both length of 4m50cm and 6m 30cm woods

Step-by-step explanation:

lengths

4m50cm = 450 cm

6m 30cm  = 630 cm

We need to find HCF of both lengths  to find length of largest piece which can measure exactly both length

630 - 450  = 180

450 -  180 = 270

270 - 180 = 90

180 - 90  = 90

90 - 90 =  0

90 is HCF

hence 90 cm  is the length

or

450 = 2 *  3 * 3 * 5 * 5

630 = 2 * 3 * 3 * 5 * 7

HCF = 2 * 3 * 3 * 5

= 90

length of largest piece which can measure exactly both length = 90 cm

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