Question

Write each number as a product using the GCF as a​ factor, and apply the Distributive Property.
nothing 34+51

Answer 1

Answer:

34+51 = 85

The greatest common factor of 34 and 51 can be computed by using the least common multiple aka lcm of 34 and 51. This is the easiest approach:

gcf (34,51) = \frac{34 \times 51}{lcm(34,51)} = \frac{1734}{102}

lcm(34,51)

34×51

=

102

1734

= 17

Alternatively, the gcf of 34 and 51 can be found using the prime factorization of 34 and 51:

The prime factorization of 34 is: 2 x 17

The prime factorization of 51 is: 3 x 17

The prime factors and multiplicities 34 and 51 have in common are: 17

17 is the gcf of 34 and 51

gcf(34,51) = 17

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