Find the HCF of 563 and 936 by euclid division lemma.??
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Answers
Answer:
HCF of 563, 936 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 1 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 563, 936 is 1.
HCF(563, 936) = 1
Answer:
1
Step-by-step explanation:
Step 1: Since 936 > 563, we apply the division lemma to 936 and 563, to get
936 = 563 x 1 + 373
Step 2: Since the reminder 563 ≠ 0, we apply division lemma to 373 and 563, to get
563 = 373 x 1 + 190
Step 3: We consider the new divisor 373 and the new remainder 190, and apply the division lemma to get
373 = 190 x 1 + 183
We consider the new divisor 190 and the new remainder 183,and apply the division lemma to get
190 = 183 x 1 + 7
We consider the new divisor 183 and the new remainder 7,and apply the division lemma to get
183 = 7 x 26 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 936 and 563 is 1
Notice that 1 = HCF(7,1) = HCF(183,7) = HCF(190,183) = HCF(373,190) = HCF(563,373) = HCF(936,563) .
Therefore, HCF of 936,563 using Euclid's division lemma is 1.