Question

3.
9. De
Find the largest whole number which is a factor
of both 42 and 98.
ist
4
(a)
The numbers 792 and 990, written as the products
of their prime factors, are 792 = 23 x 32 x 11
and 990 = 2 x 32 x 5 x 11. Hence, find the
greatest whole number that will divide both
792 and 990 exactly.
(b)
(c)
(d)
a
(e) !
The numbers 176 and 342, written as the products
of their prime factors, are 176 = 24 x 11 and
342 = 2 x 32 x 19. Hence, find the smallest whole
number that is divisible by both 176 and 342.
a​

Answer 1

Answer:

198

Step-by-step explanation:

The number 792 can be written as the multiplication of its prime factors as (2×2×2×11×3×3) and the number 990 can be written as the multiplication of its prime factors as (5×2×11×3×3).  

Hence, the common factors of those two numbers are 2, 11, 3, 3.

Therefore, the greatest whole number that will divide both 792 and 990 is (2×11×3×3) =198. (Answer)

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