Highest Common Factor of 9074, 8217 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9074, 8217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9074, 8217 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 9074, 8217 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 9074, 8217 is 1.

HCF(9074, 8217) = 1

HCF of 9074, 8217 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 9074, 8217 is 1.

Highest Common Factor of 9074,8217 using Euclid's algorithm

Highest Common Factor of 9074,8217 is 1

Step 1: Since 9074 > 8217, we apply the division lemma to 9074 and 8217, to get

9074 = 8217 x 1 + 857

Step 2: Since the reminder 8217 ≠ 0, we apply division lemma to 857 and 8217, to get

8217 = 857 x 9 + 504

Step 3: We consider the new divisor 857 and the new remainder 504, and apply the division lemma to get

857 = 504 x 1 + 353

We consider the new divisor 504 and the new remainder 353,and apply the division lemma to get

504 = 353 x 1 + 151

We consider the new divisor 353 and the new remainder 151,and apply the division lemma to get

353 = 151 x 2 + 51

We consider the new divisor 151 and the new remainder 51,and apply the division lemma to get

151 = 51 x 2 + 49

We consider the new divisor 51 and the new remainder 49,and apply the division lemma to get

51 = 49 x 1 + 2

We consider the new divisor 49 and the new remainder 2,and apply the division lemma to get

49 = 2 x 24 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9074 and 8217 is 1

Notice that 1 = HCF(2,1) = HCF(49,2) = HCF(51,49) = HCF(151,51) = HCF(353,151) = HCF(504,353) = HCF(857,504) = HCF(8217,857) = HCF(9074,8217) .

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Frequently Asked Questions on HCF of 9074, 8217 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 9074, 8217?

Answer: HCF of 9074, 8217 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9074, 8217 using Euclid's Algorithm?

Answer: For arbitrary numbers 9074, 8217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.