Highest Common Factor of 4017, 9166, 68388 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 4017, 9166, 68388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4017, 9166, 68388 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 4017, 9166, 68388 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 4017, 9166, 68388 is 1.

HCF(4017, 9166, 68388) = 1

HCF of 4017, 9166, 68388 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 4017, 9166, 68388 is 1.

Highest Common Factor of 4017,9166,68388 using Euclid's algorithm

Highest Common Factor of 4017,9166,68388 is 1

Step 1: Since 9166 > 4017, we apply the division lemma to 9166 and 4017, to get

9166 = 4017 x 2 + 1132

Step 2: Since the reminder 4017 ≠ 0, we apply division lemma to 1132 and 4017, to get

4017 = 1132 x 3 + 621

Step 3: We consider the new divisor 1132 and the new remainder 621, and apply the division lemma to get

1132 = 621 x 1 + 511

We consider the new divisor 621 and the new remainder 511,and apply the division lemma to get

621 = 511 x 1 + 110

We consider the new divisor 511 and the new remainder 110,and apply the division lemma to get

511 = 110 x 4 + 71

We consider the new divisor 110 and the new remainder 71,and apply the division lemma to get

110 = 71 x 1 + 39

We consider the new divisor 71 and the new remainder 39,and apply the division lemma to get

71 = 39 x 1 + 32

We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get

39 = 32 x 1 + 7

We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get

32 = 7 x 4 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4017 and 9166 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(71,39) = HCF(110,71) = HCF(511,110) = HCF(621,511) = HCF(1132,621) = HCF(4017,1132) = HCF(9166,4017) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 68388 > 1, we apply the division lemma to 68388 and 1, to get

68388 = 1 x 68388 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68388 is 1

Notice that 1 = HCF(68388,1) .

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Frequently Asked Questions on HCF of 4017, 9166, 68388 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 4017, 9166, 68388?

Answer: HCF of 4017, 9166, 68388 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4017, 9166, 68388 using Euclid's Algorithm?

Answer: For arbitrary numbers 4017, 9166, 68388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.