Highest Common Factor of 8017, 9849, 11339 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 8017, 9849, 11339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8017, 9849, 11339 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 8017, 9849, 11339 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 8017, 9849, 11339 is 1.

HCF(8017, 9849, 11339) = 1

HCF of 8017, 9849, 11339 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 8017, 9849, 11339 is 1.

Highest Common Factor of 8017,9849,11339 using Euclid's algorithm

Highest Common Factor of 8017,9849,11339 is 1

Step 1: Since 9849 > 8017, we apply the division lemma to 9849 and 8017, to get

9849 = 8017 x 1 + 1832

Step 2: Since the reminder 8017 ≠ 0, we apply division lemma to 1832 and 8017, to get

8017 = 1832 x 4 + 689

Step 3: We consider the new divisor 1832 and the new remainder 689, and apply the division lemma to get

1832 = 689 x 2 + 454

We consider the new divisor 689 and the new remainder 454,and apply the division lemma to get

689 = 454 x 1 + 235

We consider the new divisor 454 and the new remainder 235,and apply the division lemma to get

454 = 235 x 1 + 219

We consider the new divisor 235 and the new remainder 219,and apply the division lemma to get

235 = 219 x 1 + 16

We consider the new divisor 219 and the new remainder 16,and apply the division lemma to get

219 = 16 x 13 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8017 and 9849 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(219,16) = HCF(235,219) = HCF(454,235) = HCF(689,454) = HCF(1832,689) = HCF(8017,1832) = HCF(9849,8017) .

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

Step 1: Since 11339 > 1, we apply the division lemma to 11339 and 1, to get

11339 = 1 x 11339 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11339 is 1

Notice that 1 = HCF(11339,1) .

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Frequently Asked Questions on HCF of 8017, 9849, 11339 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 8017, 9849, 11339?

Answer: HCF of 8017, 9849, 11339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8017, 9849, 11339 using Euclid's Algorithm?

Answer: For arbitrary numbers 8017, 9849, 11339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.