To illustrate this claim, what is the maximum length of a rope that can be used to correctly measure the lengths of rope 1m and 20 cm, 3m and 60 cm and 4 m?
Answers
Answered by
1
Answer:
To measure the length of the longest rope that can be used to measure exactly the ropes of length 1m 20cm, 3m 60cm and 4m we will find the H.C.F of 120 cm, 360 cm and 400 cm.
As you know , 1 meter = 100 cm
To find the HCF of 120,360 and 400 we will use prime factorization method.
120=2×2×2×3×5
360=2×2×2×3×3×5
400=2×2×2×2×5×5
H.C.F(120,360,400)=2×2×2×5=40
∵Length of the longest rope that can be used to measure exactly the ropes of length 120 cm, 360 cm and 400 cm= 40 cm
like this i have done
Step-by-step explanation:
mark me brainliest
Similar questions