Question

Find the HCF of 10, 28 and 30 using continued division method.​

Answer 1

Answer:

Step I:

Divide the large number by the smaller one.

Step II:

Then the remainder is treated as divisor and the divisor as dividend.

Step III:

Divide the first divisor by the first remainder.

Step IV:

Divide the second divisor by the second remainder.

Step V:

Continue this process till the remainder becomes 0.

Step VI:

The divisor which does not leave a remainder is the H.C.F. or G.C.D. of the two numbers and thus, the last divisor is the required highest common factor (H.C.F) of the given numbers.

Let us consider some of the examples to find highest common factor (H.C.F) by using division method.

Answer 2

Answer:

Factors for 10: 1, 2, 5, and 10

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 30: 1, 2, 3, 5, 6, 10, 15, and 30

As you can see when you list out the factors of each number, 2 is the greatest number that 10, 28, and 30 divides into.

Step-by-step explanation:

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