Math, asked by jyotipatil15975, 1 month ago

Find the HCF of 563 and 936 by euclid division lemma.??
Plz Explan stap by stap..​

Answers

Answered by Anonymous
4

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

Answered by olamideolajuyi19
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.

Similar questions