Question

Two bills of ₹ 6075 and ₹8505 respectively are to be paid
by cheques of the same amount. What will be the largest
possible amount of each cheque?

Answer 1

Answer:

1215

this answer can be obtained using hcf

Answer 2

Answer:

1215

Step-by-step explanation:

Largest possible amount of cheque will be the HCF (6075, 8505).

Applying Euclid's division lemma to 8505 and 6075, we have 8505=6075×1+2430

Since, remainder 2430 ≠ 0 again applying division lemma to 6075 and 2430

6075 = 2430 × 2 +1215

Again remainder 1215≠ 0

So, again applying the division lemma to 2430 and 1215

2430 = 1215 ×2 + 0

Here the remainder is zero

So,  HCF = 1215

Therefore, the largest possible amount of each cheque will be 1215.