1.

Using Euclid's algorith(i) 1240 and 1984

Answer»

Make two columns of numbers. At the head of the columns write the two numbers whose HCF you seek:

1240.........1984

In the next step, under the smaller of the two numbers just repeat the number; under the larger number write (larger number - smaller number) so at the end of the first step you have

1240.........19841240.......... 744

Now do the same thing with the numbers you just wrote down:

1240.........19841240.......... 744. 496...........744

And so on:

1240.........19841240.......... 744. 496...........744. 496...........248

1240.........19841240.......... 744. 496...........744. 496...........248. 248...........248

When the two numbers are equal, stop. This is the HCF of the original two numbers



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