Highest Common Factor of 6383, 7348 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 6383, 7348 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6383, 7348 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 6383, 7348 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 6383, 7348 is 1.

HCF(6383, 7348) = 1

HCF of 6383, 7348 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 6383, 7348 is 1.

Highest Common Factor of 6383,7348 using Euclid's algorithm

Highest Common Factor of 6383,7348 is 1

Step 1: Since 7348 > 6383, we apply the division lemma to 7348 and 6383, to get

7348 = 6383 x 1 + 965

Step 2: Since the reminder 6383 ≠ 0, we apply division lemma to 965 and 6383, to get

6383 = 965 x 6 + 593

Step 3: We consider the new divisor 965 and the new remainder 593, and apply the division lemma to get

965 = 593 x 1 + 372

We consider the new divisor 593 and the new remainder 372,and apply the division lemma to get

593 = 372 x 1 + 221

We consider the new divisor 372 and the new remainder 221,and apply the division lemma to get

372 = 221 x 1 + 151

We consider the new divisor 221 and the new remainder 151,and apply the division lemma to get

221 = 151 x 1 + 70

We consider the new divisor 151 and the new remainder 70,and apply the division lemma to get

151 = 70 x 2 + 11

We consider the new divisor 70 and the new remainder 11,and apply the division lemma to get

70 = 11 x 6 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 6383 and 7348 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(70,11) = HCF(151,70) = HCF(221,151) = HCF(372,221) = HCF(593,372) = HCF(965,593) = HCF(6383,965) = HCF(7348,6383) .

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Frequently Asked Questions on HCF of 6383, 7348 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 6383, 7348?

Answer: HCF of 6383, 7348 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6383, 7348 using Euclid's Algorithm?

Answer: For arbitrary numbers 6383, 7348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.