Highest Common Factor of 5553, 6866 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 5553, 6866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5553, 6866 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 5553, 6866 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 5553, 6866 is 1.

HCF(5553, 6866) = 1

HCF of 5553, 6866 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 5553, 6866 is 1.

Highest Common Factor of 5553,6866 using Euclid's algorithm

Highest Common Factor of 5553,6866 is 1

Step 1: Since 6866 > 5553, we apply the division lemma to 6866 and 5553, to get

6866 = 5553 x 1 + 1313

Step 2: Since the reminder 5553 ≠ 0, we apply division lemma to 1313 and 5553, to get

5553 = 1313 x 4 + 301

Step 3: We consider the new divisor 1313 and the new remainder 301, and apply the division lemma to get

1313 = 301 x 4 + 109

We consider the new divisor 301 and the new remainder 109,and apply the division lemma to get

301 = 109 x 2 + 83

We consider the new divisor 109 and the new remainder 83,and apply the division lemma to get

109 = 83 x 1 + 26

We consider the new divisor 83 and the new remainder 26,and apply the division lemma to get

83 = 26 x 3 + 5

We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get

26 = 5 x 5 + 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 5553 and 6866 is 1

Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(83,26) = HCF(109,83) = HCF(301,109) = HCF(1313,301) = HCF(5553,1313) = HCF(6866,5553) .

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Frequently Asked Questions on HCF of 5553, 6866 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 5553, 6866?

Answer: HCF of 5553, 6866 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5553, 6866 using Euclid's Algorithm?

Answer: For arbitrary numbers 5553, 6866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.