Question

find the HCF of 14, 21 by divided method​

Answer 1

Here you go...

Solving:

The greatest common factor of 14 and 21 can be computed by using the least common multiple aka lcm of 14 and 21. This is the easiest approach:

gcf (14,21) =

14

×

21

l

c

m

(

14

,

21

)

=

294

42

= 7

Alternatively, the gcf of 14 and 21 can be found using the prime factorization of 14 and 21:

The prime factorization of 14 is: 2 x 7

The prime factorization of 21 is: 3 x 7

The prime factors and multiplicities 14 and 21 have in common are: 7

7 is the gcf of 14 and 21

gcf(14,21) = 7

In any case, the easiest way to compute the gcf of two numbers like 14 and 21 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 14,21. The calculation is conducted automatically.

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