Question

SOLUTION : To find the maximum
Factors of 18 = 1, 2, 3, 6, 9. 18
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
The common factors of 18 and 24 = 1, 2, 3, 6
EXAMPLE 14: Find the lowest number which when divided by 6, 8 and
Therefore, the maximum length of each piece will be 6 m.
Hence, 27 is the lowest number which when divided by 6, 8 and 2
18 and 24
The HCF of 18 and 24 = 6.
SOLUTION :
2 6
3 3
1
We have, 6 = 2 x 3,8=2x2x2 and 12 = 2x2x3.
The LCM of 6, 8 and 12 is = 2x2x2 x 3 = 24.
Now, the required number = 24 + 3 = 27.
12 leaves 3 as remainder in each case.
2 8
2 4
2 2
1
2 12
2 6
3
3
1
leaves 3 as remainder in each case.​

Answer 1

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