Highest Common Factor of 8368, 6383 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 8368, 6383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8368, 6383 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 8368, 6383 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 8368, 6383 is 1.

HCF(8368, 6383) = 1

HCF of 8368, 6383 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 8368, 6383 is 1.

Highest Common Factor of 8368,6383 using Euclid's algorithm

Highest Common Factor of 8368,6383 is 1

Step 1: Since 8368 > 6383, we apply the division lemma to 8368 and 6383, to get

8368 = 6383 x 1 + 1985

Step 2: Since the reminder 6383 ≠ 0, we apply division lemma to 1985 and 6383, to get

6383 = 1985 x 3 + 428

Step 3: We consider the new divisor 1985 and the new remainder 428, and apply the division lemma to get

1985 = 428 x 4 + 273

We consider the new divisor 428 and the new remainder 273,and apply the division lemma to get

428 = 273 x 1 + 155

We consider the new divisor 273 and the new remainder 155,and apply the division lemma to get

273 = 155 x 1 + 118

We consider the new divisor 155 and the new remainder 118,and apply the division lemma to get

155 = 118 x 1 + 37

We consider the new divisor 118 and the new remainder 37,and apply the division lemma to get

118 = 37 x 3 + 7

We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get

37 = 7 x 5 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 8368 and 6383 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(118,37) = HCF(155,118) = HCF(273,155) = HCF(428,273) = HCF(1985,428) = HCF(6383,1985) = HCF(8368,6383) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8368, 6383 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 8368, 6383?

Answer: HCF of 8368, 6383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8368, 6383 using Euclid's Algorithm?

Answer: For arbitrary numbers 8368, 6383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.