Highest Common Factor of 4301, 8429 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 4301, 8429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4301, 8429 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 4301, 8429 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 4301, 8429 is 1.

HCF(4301, 8429) = 1

HCF of 4301, 8429 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 4301, 8429 is 1.

Highest Common Factor of 4301,8429 using Euclid's algorithm

Highest Common Factor of 4301,8429 is 1

Step 1: Since 8429 > 4301, we apply the division lemma to 8429 and 4301, to get

8429 = 4301 x 1 + 4128

Step 2: Since the reminder 4301 ≠ 0, we apply division lemma to 4128 and 4301, to get

4301 = 4128 x 1 + 173

Step 3: We consider the new divisor 4128 and the new remainder 173, and apply the division lemma to get

4128 = 173 x 23 + 149

We consider the new divisor 173 and the new remainder 149,and apply the division lemma to get

173 = 149 x 1 + 24

We consider the new divisor 149 and the new remainder 24,and apply the division lemma to get

149 = 24 x 6 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 4301 and 8429 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(149,24) = HCF(173,149) = HCF(4128,173) = HCF(4301,4128) = HCF(8429,4301) .

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Frequently Asked Questions on HCF of 4301, 8429 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 4301, 8429?

Answer: HCF of 4301, 8429 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4301, 8429 using Euclid's Algorithm?

Answer: For arbitrary numbers 4301, 8429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.