IN HARITHAHARAM 108,84,AND 60 SAPLINGS OF MANGO GUAVA AND SAPOTA SUPPLIED FIND THE MINIMUM NUMBER OF ROWS IN WHICH THEY CAN BE PLANTED IF IN EACH ROW SAME NUMBER OF SAPPLINGS OF THE SAME TYPE ARE TO BE PLANTED
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Given :-
- in harithaharam 108, 84 and 60 saplings of mango, guava ans sapota supplied.
To find :-
- minimum number of rows in which they can be planted if in each row same number of saplings of the same type are to be planted. ?
Solution :-
To find the minimum number of rows we have to find HCF of 108, 64 and 60.
Prime factors of 108, 64 and 60 are :-
→ 108 = 2 * 2 * 3 * 3 * 3 = 2² * 3³
→ 64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶
→ 60 = 2 * 2 * 3 * 5 = 2² * 3 * 5
HCF = 2² * 3 = 4 * 3 = 12.
Hence, The minimum Number of rows are 12.
Answered by
1
Answer:
12
Step-by-step explanation:
To find the minimum number of rows we have to find HCF of 108, 64 and 60.
Prime factors of 108, 64 and 60 are :-
→ 108 = 2 * 2 * 3 * 3 * 3 = 2² * 3³
→ 64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶
→ 60 = 2 * 2 * 3 * 5 = 2² * 3 * 5
HCF = 2² * 3 = 4 * 3 = 12.
Hence, The minimum Number of rows are 12
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