Question

find the largest tape which can be used to measure exactly the lengths 9m 50 cm 3m 80 cm and 12 m 35cm​

Answer 1

Answer:

7 m = 700cm

3m 80cm = 380 cm

12 m 35cm = 1235cm

THE REQUIRED LENGTH OF THE TAPE THAT CAN MEASURE THE LENGTHS 700cm, 380cm, 1235cm WILL BE GIVEN BUT THE H.C.F OF 700cm, 380cm, 1235cm

EVALUATING THE H.C.F OF 700, 380, 1235 using prime factorisation method., we have

700= 2×2×5×5×7

380= 5×2×2×19

1235= 5×13×19

▪︎▪︎▪︎▪︎》H.C.F = 5