Find the longest tape which can be used to measure exactly the lengths 700cm, 385 CM and 1295 cm

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Solution

Find the H.C.F of 3 lengths 700cm, 385cm, 1295cm

700= 2× 2× 5×5×7 = 2²×5²×7
385= 5×7×11
1295= 5×7×37

H.C.F= 5×7 = 35
_
The longest tape which can be used to measure exactly the length 700cm, 385cm & 1295cm = 35

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Find the longest tape which can be used to measure exactly the lengths 700cm, 385 CM and 1295 cm

Find the H.C.F of 3 lengths 700cm, 385cm, 1295cm 700= 2× 2× 5×5×7 = 2²×5²×7 385= 5×7×11 1295= 5×7×37 H.C.F= 5×7 = 35 _ The longest tape which can be used to measure exactly the length 700cm, 385cm & 1295cm = 35

Find the H.C.F of 3 lengths 700cm, 385cm, 1295cm

700= 2× 2× 5×5×7 = 2²×5²×7
385= 5×7×11
1295= 5×7×37

H.C.F= 5×7 = 35
_
The longest tape which can be used to measure exactly the length 700cm, 385cm & 1295cm = 35