Highest Common Factor of 1217, 8966 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 1217, 8966 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1217, 8966 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 1217, 8966 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 1217, 8966 is 1.

HCF(1217, 8966) = 1

HCF of 1217, 8966 using Euclid's algorithm

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

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Highest common factor (HCF) of 1217, 8966 is 1.

Highest Common Factor of 1217,8966 using Euclid's algorithm

Highest Common Factor of 1217,8966 is 1

Step 1: Since 8966 > 1217, we apply the division lemma to 8966 and 1217, to get

8966 = 1217 x 7 + 447

Step 2: Since the reminder 1217 ≠ 0, we apply division lemma to 447 and 1217, to get

1217 = 447 x 2 + 323

Step 3: We consider the new divisor 447 and the new remainder 323, and apply the division lemma to get

447 = 323 x 1 + 124

We consider the new divisor 323 and the new remainder 124,and apply the division lemma to get

323 = 124 x 2 + 75

We consider the new divisor 124 and the new remainder 75,and apply the division lemma to get

124 = 75 x 1 + 49

We consider the new divisor 75 and the new remainder 49,and apply the division lemma to get

75 = 49 x 1 + 26

We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get

49 = 26 x 1 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 1217 and 8966 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(75,49) = HCF(124,75) = HCF(323,124) = HCF(447,323) = HCF(1217,447) = HCF(8966,1217) .

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Frequently Asked Questions on HCF of 1217, 8966 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 1217, 8966?

Answer: HCF of 1217, 8966 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1217, 8966 using Euclid's Algorithm?

Answer: For arbitrary numbers 1217, 8966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.