Question

Find the largest number that divides 249 and 309 leaving remainder 9

Answer 1

Here is your answer dear⬇️⬇️


▶️First, we will subtract 9 from 249 and 309

=> 249 - 9 = 240

=> 309 - 9 = 300


▶️Now we will find the HCF of the obtained numbers i.e. 240 and 300

=> 240 = 2 × 2 × 2 × 2 × 3 × 5

=> 300 = 2 × 2 × 3 × 5 × 5

Common factors = 2 × 2 × 3 × 5

= 60


$\therefore{}$ $\blue{The \: largest \: number \: is \: 60}$