Question

Which is the largest number which divides 144,180 and 192 exactly leaving no remainder

Answer 1

Answer:

12

Step-by-step explanation:

HCF of 144, 180, 192

144 = 2 × 2 × 2 × 2 × 3 × 3

180 = 2 × 2 × 3 × 3 × 5

192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

HCF is = 2 × 2 × 3 = 12

144 = 12 × 12

180 = 12 × 15

192 = 12 × 16

the greatest number that divides 144, 180 & 192 leaving no remainder is 12

Hope you get your answer