Highest Common Factor of 8611, 2446 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 8611, 2446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8611, 2446 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 8611, 2446 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 8611, 2446 is 1.

HCF(8611, 2446) = 1

HCF of 8611, 2446 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 8611, 2446 is 1.

Highest Common Factor of 8611,2446 using Euclid's algorithm

Highest Common Factor of 8611,2446 is 1

Step 1: Since 8611 > 2446, we apply the division lemma to 8611 and 2446, to get

8611 = 2446 x 3 + 1273

Step 2: Since the reminder 2446 ≠ 0, we apply division lemma to 1273 and 2446, to get

2446 = 1273 x 1 + 1173

Step 3: We consider the new divisor 1273 and the new remainder 1173, and apply the division lemma to get

1273 = 1173 x 1 + 100

We consider the new divisor 1173 and the new remainder 100,and apply the division lemma to get

1173 = 100 x 11 + 73

We consider the new divisor 100 and the new remainder 73,and apply the division lemma to get

100 = 73 x 1 + 27

We consider the new divisor 73 and the new remainder 27,and apply the division lemma to get

73 = 27 x 2 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 8611 and 2446 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(73,27) = HCF(100,73) = HCF(1173,100) = HCF(1273,1173) = HCF(2446,1273) = HCF(8611,2446) .

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Frequently Asked Questions on HCF of 8611, 2446 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 8611, 2446?

Answer: HCF of 8611, 2446 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8611, 2446 using Euclid's Algorithm?

Answer: For arbitrary numbers 8611, 2446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.