Highest Common Factor of 6899, 6430 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 6899, 6430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6899, 6430 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 6899, 6430 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 6899, 6430 is 1.

HCF(6899, 6430) = 1

HCF of 6899, 6430 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 6899, 6430 is 1.

Highest Common Factor of 6899,6430 using Euclid's algorithm

Highest Common Factor of 6899,6430 is 1

Step 1: Since 6899 > 6430, we apply the division lemma to 6899 and 6430, to get

6899 = 6430 x 1 + 469

Step 2: Since the reminder 6430 ≠ 0, we apply division lemma to 469 and 6430, to get

6430 = 469 x 13 + 333

Step 3: We consider the new divisor 469 and the new remainder 333, and apply the division lemma to get

469 = 333 x 1 + 136

We consider the new divisor 333 and the new remainder 136,and apply the division lemma to get

333 = 136 x 2 + 61

We consider the new divisor 136 and the new remainder 61,and apply the division lemma to get

136 = 61 x 2 + 14

We consider the new divisor 61 and the new remainder 14,and apply the division lemma to get

61 = 14 x 4 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 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 6899 and 6430 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(61,14) = HCF(136,61) = HCF(333,136) = HCF(469,333) = HCF(6430,469) = HCF(6899,6430) .

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Frequently Asked Questions on HCF of 6899, 6430 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 6899, 6430?

Answer: HCF of 6899, 6430 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6899, 6430 using Euclid's Algorithm?

Answer: For arbitrary numbers 6899, 6430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.