Question

find the greatest length which can be used to measure exactly three cloth pieces of lengths 1.26 m, 1.98
and 1.62 m respectively.
a) 12 cm
b) 14 cm
c) 16 cm
d) 18 cm​

Answer 1

Answer:

We will find HCF  of 126 , 198 & 162

126 = 2 * 3  * 3 * 7

198 = 2 * 3 * 3 * 11

162 =  2 * 3 * 3 * 3 * 3

We can see common factor in all three numbers

2*3 *3 = 18

18cm = 0.18 m

18 cm (0.18 m) is the greatest possible length which can be used to measure exactly three cloth piece of Length  1.26 m, 1.98 m & 1.62 M