Question

H C f of two consecutive even numbers​

Answer 1

Answer:

please give me some time for solve your problem

Answer 2

Answer:

2

Step-by-step explanation:

Let the consecutive numbers be 8 and 9.

8=2\times2\times28=2×2×2

9=3\times39=3×3

common factor of 8 and 9 =1

thus, HCF of 8 and 9 is 1.

therefore, HCF of two consecutive number is 1.

ii) let the two consecutive numbers be 10 and 12

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10=2\times510=2×5

12=2\times2\times312=2×2×3

common factor of 10 and 12 is 2

HCF of 10 and 12 is 2.

hence, the HCF of two consecutive even numbers is 2.