Find hcf of 104 and 84 by euclid division lemma
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by Euclid division lemma
Hcf=4
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Answer:
- The divisor at this stage, ie, 4 is the HCF 104 and 84.
Given :
- The numbers 104 and 84.
To find :
- HCF of 104 and 84 by Euclid method =?
Step-by-step explanation:
Clearly, 104 > 84
Applying the Euclid's division lemma to 104 and 84, we get
104 = 84 x 1 + 20
Since the remainder 2 ≠ 0, we apply the Euclid's division lemma to divisor 84 and remainder 20 to get
84 = 20 x 4 + 4
We consider the new divisor 20 and remainder 4 and apply the division lemma to get
20 = 4 x 5 + 0
Now, the remainder at this stage is 0.
So, the divisor at this stage, ie, 4 is the HCF of 104 and 84.
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