Question

The numbers 840 and 8316, written as the products. of their prime factors, are 840= 2¹ × 3 × 5 × 7 and 8316= 22 x 3³ x 7 x 11. Hence, find

(i) the greatest whole number that will divide both 840 and 8316 exactly,
(ii) the smallest non-zero whole number that is divisible by both 840 and 8316.

Pls help asap​

Answer 1

1) 84

2) 83160

Explanation:

Greatest common divisor and Least common multiple

840 = 2³ * 3 * 5 * 7

8316 = 2² * 3³ * 7 * 11

i) The greatest whole number that will divide both 840 and 8316 is the

Greatest common divisor. Find only the common factors.

Greatest common divisor = 2² * 3 * 7

= 84

84 is the greatest whole number that divides both 840 and 8316.

Answer: 84

ii) The smallest non-zero whole number that is divisible by 840 and 8316 is Least common multiple of 840 & 8316.

Least common multiple = 2³ * 3³ * 5 * 7 * 11

= 8 * 27 * 5 * 7 * 11

=83160