This question is from real numbers in which we have given three different lengths of 7m, 3m 85cm and 12m 95cm and we have to find the greatest possible length which can be used to divide the above length.
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 1B, question no 21
The three given lengths are 7 m =700 cm
3 m 85 cm =385 cm and
12 m 95 m=1295 cm
now the required length is HCF of 700,385 and 1295.
700=2²×5²×7
385=5×7×11
1295=5×7×37
HCF (700,385 and 1295)=5×7=35
The greatest possible length is 35 cm