find HCF of 144,233 by Euclid division lemma
Answers
Step-by-step explanation:
firstly divide the given digit
and insert in the formula a=bq+r
Answer:
- The divisor at this stage, ie, 1 is the HCF 144 and 233.
Given :
- The numbers 144 and 233.
To find :
- HCF of 144 and 233 by Euclid method =?
Step-by-step explanation:
Clearly, 233 > 144
Applying the Euclid's division lemma to 233 and 144, we get
233 = 144 x 1 + 89
Since the remainder 89 ≠ 0, we apply the Euclid's division lemma to divisor 144 and remainder 89 to get
144 = 89 x 1 + 55
We consider the new divisor 89 and remainder 55 and apply the division lemma to get
89 = 55 x 1 + 34
We consider the new divisor 55 and remainder 34 and apply the division lemma to get
55 = 34 x 1 + 21
We consider the new divisor 34 and remainder 21 and apply the division lemma to get
34 = 21 x 1 + 13
We consider the new divisor 21 and remainder 13 and apply the division lemma to get
21 = 13 x 1 + 8
We consider the new divisor 13 and remainder 8 and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and remainder 5 and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and remainder 3 and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and remainder 2 and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and remainder 1 and apply the division lemma to get
2 = 1 x 1 + 1
We consider the new divisor 36 and remainder 13 and apply the division lemma to get
1 = 1 x 1 + 0
Now, the remainder at this stage is 0.