Highest Common Factor of 9866, 7349, 52463 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 9866, 7349, 52463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9866, 7349, 52463 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 9866, 7349, 52463 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 9866, 7349, 52463 is 1.

HCF(9866, 7349, 52463) = 1

HCF of 9866, 7349, 52463 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 9866, 7349, 52463 is 1.

Highest Common Factor of 9866,7349,52463 using Euclid's algorithm

Highest Common Factor of 9866,7349,52463 is 1

Step 1: Since 9866 > 7349, we apply the division lemma to 9866 and 7349, to get

9866 = 7349 x 1 + 2517

Step 2: Since the reminder 7349 ≠ 0, we apply division lemma to 2517 and 7349, to get

7349 = 2517 x 2 + 2315

Step 3: We consider the new divisor 2517 and the new remainder 2315, and apply the division lemma to get

2517 = 2315 x 1 + 202

We consider the new divisor 2315 and the new remainder 202,and apply the division lemma to get

2315 = 202 x 11 + 93

We consider the new divisor 202 and the new remainder 93,and apply the division lemma to get

202 = 93 x 2 + 16

We consider the new divisor 93 and the new remainder 16,and apply the division lemma to get

93 = 16 x 5 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 9866 and 7349 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(93,16) = HCF(202,93) = HCF(2315,202) = HCF(2517,2315) = HCF(7349,2517) = HCF(9866,7349) .

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

Step 1: Since 52463 > 1, we apply the division lemma to 52463 and 1, to get

52463 = 1 x 52463 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 52463 is 1

Notice that 1 = HCF(52463,1) .

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Frequently Asked Questions on HCF of 9866, 7349, 52463 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 9866, 7349, 52463?

Answer: HCF of 9866, 7349, 52463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9866, 7349, 52463 using Euclid's Algorithm?

Answer: For arbitrary numbers 9866, 7349, 52463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.