Question

Find the greatest number that divided 249 & 309 leaving remainder 9​

Answer 1

Answer:

249 - 9= 240

309 - 9 = 300

Hcf 240 = 2*2*2*2*3*5

300= 2*2*3*5*5

the common factors are = 2*2*3*5

Answer : 60

Answer 2

240= 2⁴×3×5

300=2²×5²×3

so, the HCF of (240,300)=60

so the greatest number that divided 249,309 is 60

Explanation:

As the reminder is 9 , subtract 9 from the number so that the greatest number would be perfectly divisible by the numbers