Highest Common Factor of 8342, 4807 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 8342, 4807 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8342, 4807 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 8342, 4807 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 8342, 4807 is 1.

HCF(8342, 4807) = 1

HCF of 8342, 4807 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8342, 4807 is 1.

Highest Common Factor of 8342,4807 using Euclid's algorithm

Highest Common Factor of 8342,4807 is 1

Step 1: Since 8342 > 4807, we apply the division lemma to 8342 and 4807, to get

8342 = 4807 x 1 + 3535

Step 2: Since the reminder 4807 ≠ 0, we apply division lemma to 3535 and 4807, to get

4807 = 3535 x 1 + 1272

Step 3: We consider the new divisor 3535 and the new remainder 1272, and apply the division lemma to get

3535 = 1272 x 2 + 991

We consider the new divisor 1272 and the new remainder 991,and apply the division lemma to get

1272 = 991 x 1 + 281

We consider the new divisor 991 and the new remainder 281,and apply the division lemma to get

991 = 281 x 3 + 148

We consider the new divisor 281 and the new remainder 148,and apply the division lemma to get

281 = 148 x 1 + 133

We consider the new divisor 148 and the new remainder 133,and apply the division lemma to get

148 = 133 x 1 + 15

We consider the new divisor 133 and the new remainder 15,and apply the division lemma to get

133 = 15 x 8 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 8342 and 4807 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(133,15) = HCF(148,133) = HCF(281,148) = HCF(991,281) = HCF(1272,991) = HCF(3535,1272) = HCF(4807,3535) = HCF(8342,4807) .

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Frequently Asked Questions on HCF of 8342, 4807 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 8342, 4807?

Answer: HCF of 8342, 4807 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8342, 4807 using Euclid's Algorithm?

Answer: For arbitrary numbers 8342, 4807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.