Question

Find HCF and LCM of
1. 19,76

Answer 1

The lcm of 19 and 76 can be obtained like this:

The multiples of 19 are … , 57, 76, 95, ….

The multiples of 76 are …, 0, 76, 152, …

The common multiples of 19 and 76 are n x 76, intersecting the two sets above, .

In the intersection multiples of 19 ∩ multiples of 76 the least positive element is 76.

Therefore, the least common multiple of 19 and 76 is 76.

The gcf of 19 and 76 can be obtained like this:

The factors of 19 are 19, 1.

The factors of 76 are 76, 38, 19, 4, 2, 1.

The common factors of 19 and 76 are 19, 1, intersecting the two sets above.

In the intersection factors of 19 ∩ factors of 76 the greatest element is 19.

Therefore, the greatest common factor of 19 and 76 is 19.

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Answer 2

Answer:

HCF =19,LCM=76

Step-by-step explanation:

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