Highest Common Factor of 6218, 8845 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 6218, 8845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6218, 8845 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 6218, 8845 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 6218, 8845 is 1.

HCF(6218, 8845) = 1

HCF of 6218, 8845 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 6218, 8845 is 1.

Highest Common Factor of 6218,8845 using Euclid's algorithm

Highest Common Factor of 6218,8845 is 1

Step 1: Since 8845 > 6218, we apply the division lemma to 8845 and 6218, to get

8845 = 6218 x 1 + 2627

Step 2: Since the reminder 6218 ≠ 0, we apply division lemma to 2627 and 6218, to get

6218 = 2627 x 2 + 964

Step 3: We consider the new divisor 2627 and the new remainder 964, and apply the division lemma to get

2627 = 964 x 2 + 699

We consider the new divisor 964 and the new remainder 699,and apply the division lemma to get

964 = 699 x 1 + 265

We consider the new divisor 699 and the new remainder 265,and apply the division lemma to get

699 = 265 x 2 + 169

We consider the new divisor 265 and the new remainder 169,and apply the division lemma to get

265 = 169 x 1 + 96

We consider the new divisor 169 and the new remainder 96,and apply the division lemma to get

169 = 96 x 1 + 73

We consider the new divisor 96 and the new remainder 73,and apply the division lemma to get

96 = 73 x 1 + 23

We consider the new divisor 73 and the new remainder 23,and apply the division lemma to get

73 = 23 x 3 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6218 and 8845 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(73,23) = HCF(96,73) = HCF(169,96) = HCF(265,169) = HCF(699,265) = HCF(964,699) = HCF(2627,964) = HCF(6218,2627) = HCF(8845,6218) .

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Frequently Asked Questions on HCF of 6218, 8845 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 6218, 8845?

Answer: HCF of 6218, 8845 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6218, 8845 using Euclid's Algorithm?

Answer: For arbitrary numbers 6218, 8845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.