Question

10. Find the greatest length of a rod which can measure exactly 42m,
49m and 48m. Find also the number of times the rod is contained in
each length
4​

Answer 1

Answer:

Step-by-step explanation:

GCD is 7m. I just saw this naturally (6*7, 7*7, 12*7) but you could write them in their prime constituents and see what the largest common number you have in each of them:

42 = 2*3*7

49 = 7*7

84 = 2*2*3*7

since there are only sevens in 49 and the other numbers only consists of one seven the GCD (Greatest Common Divider) is 7.

length of rod =7m