Highest Common Factor of 4886, 6683 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 4886, 6683 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4886, 6683 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 4886, 6683 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 4886, 6683 is 1.

HCF(4886, 6683) = 1

HCF of 4886, 6683 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 4886, 6683 is 1.

Highest Common Factor of 4886,6683 using Euclid's algorithm

Highest Common Factor of 4886,6683 is 1

Step 1: Since 6683 > 4886, we apply the division lemma to 6683 and 4886, to get

6683 = 4886 x 1 + 1797

Step 2: Since the reminder 4886 ≠ 0, we apply division lemma to 1797 and 4886, to get

4886 = 1797 x 2 + 1292

Step 3: We consider the new divisor 1797 and the new remainder 1292, and apply the division lemma to get

1797 = 1292 x 1 + 505

We consider the new divisor 1292 and the new remainder 505,and apply the division lemma to get

1292 = 505 x 2 + 282

We consider the new divisor 505 and the new remainder 282,and apply the division lemma to get

505 = 282 x 1 + 223

We consider the new divisor 282 and the new remainder 223,and apply the division lemma to get

282 = 223 x 1 + 59

We consider the new divisor 223 and the new remainder 59,and apply the division lemma to get

223 = 59 x 3 + 46

We consider the new divisor 59 and the new remainder 46,and apply the division lemma to get

59 = 46 x 1 + 13

We consider the new divisor 46 and the new remainder 13,and apply the division lemma to get

46 = 13 x 3 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4886 and 6683 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(46,13) = HCF(59,46) = HCF(223,59) = HCF(282,223) = HCF(505,282) = HCF(1292,505) = HCF(1797,1292) = HCF(4886,1797) = HCF(6683,4886) .

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Frequently Asked Questions on HCF of 4886, 6683 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 4886, 6683?

Answer: HCF of 4886, 6683 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4886, 6683 using Euclid's Algorithm?

Answer: For arbitrary numbers 4886, 6683 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.