find the HCF of 14 and 56
Answers
Answer:
How to find the GCF of 14 and 56
The greatest common factor of 14 and 56 can be computed by using the least common multiple aka lcm of 14 and 56. This is the easiest approach:
gcf (14,56) = \frac{14 \times 56}{lcm(14,56)} = \frac{784}{56}
lcm(14,56)
14×56
=
56
784
= 14
Alternatively, the gcf of 14 and 56 can be found using the prime factorization of 14 and 56:
The prime factorization of 14 is: 2 x 7
The prime factorization of 56 is: 2 x 2 x 2 x 7
The prime factors and multiplicities 14 and 56 have in common are: 2 x 7
2 x 7 is the gcf of 14 and 56
gcf(14,56) = 14
In any case, the easiest way to compute the gcf of two numbers like 14 and 56 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 14,56. The calculation is conducted automatically.