Highest Common Factor of 9373, 4863 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 9373, 4863 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9373, 4863 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 9373, 4863 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 9373, 4863 is 1.

HCF(9373, 4863) = 1

HCF of 9373, 4863 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 9373, 4863 is 1.

Highest Common Factor of 9373,4863 using Euclid's algorithm

Highest Common Factor of 9373,4863 is 1

Step 1: Since 9373 > 4863, we apply the division lemma to 9373 and 4863, to get

9373 = 4863 x 1 + 4510

Step 2: Since the reminder 4863 ≠ 0, we apply division lemma to 4510 and 4863, to get

4863 = 4510 x 1 + 353

Step 3: We consider the new divisor 4510 and the new remainder 353, and apply the division lemma to get

4510 = 353 x 12 + 274

We consider the new divisor 353 and the new remainder 274,and apply the division lemma to get

353 = 274 x 1 + 79

We consider the new divisor 274 and the new remainder 79,and apply the division lemma to get

274 = 79 x 3 + 37

We consider the new divisor 79 and the new remainder 37,and apply the division lemma to get

79 = 37 x 2 + 5

We consider the new divisor 37 and the new remainder 5,and apply the division lemma to get

37 = 5 x 7 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9373 and 4863 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(37,5) = HCF(79,37) = HCF(274,79) = HCF(353,274) = HCF(4510,353) = HCF(4863,4510) = HCF(9373,4863) .

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Frequently Asked Questions on HCF of 9373, 4863 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 9373, 4863?

Answer: HCF of 9373, 4863 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9373, 4863 using Euclid's Algorithm?

Answer: For arbitrary numbers 9373, 4863 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.