Question

Use Euclid's algorithm to find the HCF of 40520and 12576.​

Answer 1

Answer:

it is on given never book class 10 chapter 1 example 1

Answer 2

Answer:

4

Step-by-step explanation:

According to Euclid’s Division Lemma if we have two positive integers a and b, then there exist unique integers q and r which satisfies the condition a = bq + r where 0 ≤ r ≤ b.

HCF is the largest number which exactly divides two or more positive integers.

Since 12576 > 4052

12576 = (4052 × 3) + 420

420 is a reminder which is not equal to zero (420 ≠ 0).

4052 = (420 × 9) + 272

271 is a reminder which is not equal to zero (272 ≠ 0).

Now consider the new divisor 272 and the new remainder 148.

272 = (148 × 1) + 124

Now consider the new divisor 148 and the new remainder 124.

148 = (124 × 1) + 24

Now consider the new divisor 124 and the new remainder 24.  

124 = (24 × 5) + 4  

Now consider the new divisor 24 and the new remainder 4.  

24 = (4 × 6) + 0  

Reminder = 0  

Divisor = 4  

HCF of 12576 and 4052 = 4.

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