Question

VI) Determine HCF of numbers given below by continued division method.
a) 28, 36
b)880, 1375
c)255, 1620​

Answer 1

Answer:

Step-by-step explanation:

28 = 2 × 2 × 7

= 2² × 7

36 = 2 × 2 × 3 × 3

= 2² × 3²

HCF is the common prime factors with the lowest degree.

common factor is 2 with lowest degree 2

therefore, HCF = 2² = 4

(b) 880 = 11 × 2 × 2 × 2 × 2 × 5

= 2⁴ × 5 × 11

1375 = 5 × 5 × 5 × 11

= 5³ × 11

Now in this, we have two common prime factors. 5 and 11. then the product of their lowest common degree is the HCF

therefore HCF = 5 × 11

= 55

(c) 255 = 3 × 5 × 17

1620 = 2 × 2× 3 × 3 × 3 × 3 × 5

= 2² × 3⁴ × 5

HCF here is 3 × 5

= 15

hope this helps ☺️