if L.C.M of two number is 30, then which of the following cannot be their H.C.F ? (A) 1 (b) 2 (c) 5 (d) 8
Answers
Answer:
D. 8
Step-by-step explanation:
If L.C.M of two numbers is 30, then 8 cannot be their H.C.F
Explanation:
The smallest number that is a multiple of every number from a group of numbers is known as the Least Common Multiple (LCM). Take the LCM of 25 and 30 as an example; it is 150.
The greatest number from a group of numbers that divides equally into each of the other numbers is known as the Highest Common Factor (HCF). For instance, 25 and 30 have an HCF of 5. because 5 is the highest number that divides both 25 and 30 and the only factor that both numbers share.
Relation between HCF and LCM: The given natural numbers' LCM and HCF products are equal to the given numbers' products.
Given the LCM is 30.
We are aware that the HCF of two numbers is always a factor of their LCM.
From the given options, the only number that is not the factor of 30 is 8.
Therefore, 8 cannot be the HCF of the two nos.
To learn more about HCF and LCM, click on the links below:
https://brainly.in/question/4019172
https://brainly.in/question/1244287?msp_srt_exp=5
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