Highest Common Factor of 8309, 4306 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 8309, 4306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8309, 4306 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 8309, 4306 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 8309, 4306 is 1.

HCF(8309, 4306) = 1

HCF of 8309, 4306 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 8309, 4306 is 1.

Highest Common Factor of 8309,4306 using Euclid's algorithm

Highest Common Factor of 8309,4306 is 1

Step 1: Since 8309 > 4306, we apply the division lemma to 8309 and 4306, to get

8309 = 4306 x 1 + 4003

Step 2: Since the reminder 4306 ≠ 0, we apply division lemma to 4003 and 4306, to get

4306 = 4003 x 1 + 303

Step 3: We consider the new divisor 4003 and the new remainder 303, and apply the division lemma to get

4003 = 303 x 13 + 64

We consider the new divisor 303 and the new remainder 64,and apply the division lemma to get

303 = 64 x 4 + 47

We consider the new divisor 64 and the new remainder 47,and apply the division lemma to get

64 = 47 x 1 + 17

We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get

47 = 17 x 2 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8309 and 4306 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(64,47) = HCF(303,64) = HCF(4003,303) = HCF(4306,4003) = HCF(8309,4306) .

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Frequently Asked Questions on HCF of 8309, 4306 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 8309, 4306?

Answer: HCF of 8309, 4306 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8309, 4306 using Euclid's Algorithm?

Answer: For arbitrary numbers 8309, 4306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.