Highest Common Factor of 927, 6323, 9866 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 927, 6323, 9866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 927, 6323, 9866 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 927, 6323, 9866 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 927, 6323, 9866 is 1.

HCF(927, 6323, 9866) = 1

HCF of 927, 6323, 9866 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 927, 6323, 9866 is 1.

Highest Common Factor of 927,6323,9866 using Euclid's algorithm

Highest Common Factor of 927,6323,9866 is 1

Step 1: Since 6323 > 927, we apply the division lemma to 6323 and 927, to get

6323 = 927 x 6 + 761

Step 2: Since the reminder 927 ≠ 0, we apply division lemma to 761 and 927, to get

927 = 761 x 1 + 166

Step 3: We consider the new divisor 761 and the new remainder 166, and apply the division lemma to get

761 = 166 x 4 + 97

We consider the new divisor 166 and the new remainder 97,and apply the division lemma to get

166 = 97 x 1 + 69

We consider the new divisor 97 and the new remainder 69,and apply the division lemma to get

97 = 69 x 1 + 28

We consider the new divisor 69 and the new remainder 28,and apply the division lemma to get

69 = 28 x 2 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 927 and 6323 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(69,28) = HCF(97,69) = HCF(166,97) = HCF(761,166) = HCF(927,761) = HCF(6323,927) .

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

Step 1: Since 9866 > 1, we apply the division lemma to 9866 and 1, to get

9866 = 1 x 9866 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9866 is 1

Notice that 1 = HCF(9866,1) .

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Frequently Asked Questions on HCF of 927, 6323, 9866 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 927, 6323, 9866?

Answer: HCF of 927, 6323, 9866 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 927, 6323, 9866 using Euclid's Algorithm?

Answer: For arbitrary numbers 927, 6323, 9866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.