Highest Common Factor of 9387, 4463 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 9387, 4463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9387, 4463 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 9387, 4463 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 9387, 4463 is 1.

HCF(9387, 4463) = 1

HCF of 9387, 4463 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 9387, 4463 is 1.

Highest Common Factor of 9387,4463 using Euclid's algorithm

Highest Common Factor of 9387,4463 is 1

Step 1: Since 9387 > 4463, we apply the division lemma to 9387 and 4463, to get

9387 = 4463 x 2 + 461

Step 2: Since the reminder 4463 ≠ 0, we apply division lemma to 461 and 4463, to get

4463 = 461 x 9 + 314

Step 3: We consider the new divisor 461 and the new remainder 314, and apply the division lemma to get

461 = 314 x 1 + 147

We consider the new divisor 314 and the new remainder 147,and apply the division lemma to get

314 = 147 x 2 + 20

We consider the new divisor 147 and the new remainder 20,and apply the division lemma to get

147 = 20 x 7 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9387 and 4463 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(147,20) = HCF(314,147) = HCF(461,314) = HCF(4463,461) = HCF(9387,4463) .

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Frequently Asked Questions on HCF of 9387, 4463 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 9387, 4463?

Answer: HCF of 9387, 4463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9387, 4463 using Euclid's Algorithm?

Answer: For arbitrary numbers 9387, 4463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.