Question

Find the HCF of 9,8,6. ​

Answer 1

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CBSE

Mathematics

Grade 6

Highest Common Factor

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

Answer

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Hint: To find the H.C.F and L.C.M of these numbers you have to find the prime factorization of 8, 9 and 25. Then the numbers which are common among all the three is H.C.F and L.C.M is the lowest common multiple which is divisible by all the given numbers. It is calculated by multiplying H.C.F by the uncommon factors of two numbers.

Complete step-by-step answer:

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 the prime factorizations of the above three numbers you can see that only 1 is common in all the three numbers so H.C.F of these three numbers is 1.

L.C.M of these three numbers is calculated by multiplying H.C.F by the uncommon factors of all the three numbers.

H.C.F of the three numbers we have calculated above as 1 and in the below, we are going to show the multiplication of uncommon factors.

2×2×2×3×3×5×5

The multiplication of the above factors is equal to:

1800

Now, we are going to multiply 1800 by 1 to get the L.C.M of the three numbers.

1800(1)

1800

Hence, the L.C.M of these three numbers is 1800.

Step-by-step explanation:

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Answer 2

Answer:

8=2×2×2=23

9=3×3=32

6=3×2=6

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