Find H.C.F and L.C.M of the following numbers 8, 9 and 25.

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1,1800

5, 1900

8, 300

4, 1200

answer is A.

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Detailed Solution

Concept- To find the H.C.F and L.C.M of these numbers, we need to find the prime factorizations of 8, 9, and 25. Second, the number common to all three of H.C.F and L.C.M is the least common multiple that is divisible by all given numbers. It is calculated by multiplying We have given the three numbers in the above problem of which we have to find the H.C.F and L.C.M:
8, 9 and 25
Prime factorizations of these three numbers are:
8=2×2×2×1
9=3×3×1
25=5×5×1
As you can see from the prime factorizations of the aforementioned three integers, only 1 is shared by all three, hence the H.C.F. for these three numbers is 1.
Calculating L.C.M for these three integers requires multiplying H.C.F by the unusual factors shared by all three.
The H.C.F. of the three integers we computed before is 1, and we are going to demonstrate the multiplication of unusual factors below.
2×2×2×3×3×5×5
The result of multiplying the aforementioned factors is 1800.
1800 will now be multiplied by one to obtain the L.C.M. of the three digits.
1800×(1) =1800
Thus, 1800 is the L.C.M. of these three numerals.
LCM of 8, 9, and 25 thus equals 1800, and HCF of 8, 9, and 25 equals 1.
As a result, selection 1 is the right response.

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