Highest Common Factor of 3988, 4823 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 3988, 4823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3988, 4823 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 3988, 4823 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 3988, 4823 is 1.

HCF(3988, 4823) = 1

HCF of 3988, 4823 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 3988, 4823 is 1.

Highest Common Factor of 3988,4823 using Euclid's algorithm

Highest Common Factor of 3988,4823 is 1

Step 1: Since 4823 > 3988, we apply the division lemma to 4823 and 3988, to get

4823 = 3988 x 1 + 835

Step 2: Since the reminder 3988 ≠ 0, we apply division lemma to 835 and 3988, to get

3988 = 835 x 4 + 648

Step 3: We consider the new divisor 835 and the new remainder 648, and apply the division lemma to get

835 = 648 x 1 + 187

We consider the new divisor 648 and the new remainder 187,and apply the division lemma to get

648 = 187 x 3 + 87

We consider the new divisor 187 and the new remainder 87,and apply the division lemma to get

187 = 87 x 2 + 13

We consider the new divisor 87 and the new remainder 13,and apply the division lemma to get

87 = 13 x 6 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 3988 and 4823 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(87,13) = HCF(187,87) = HCF(648,187) = HCF(835,648) = HCF(3988,835) = HCF(4823,3988) .

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Frequently Asked Questions on HCF of 3988, 4823 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 3988, 4823?

Answer: HCF of 3988, 4823 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3988, 4823 using Euclid's Algorithm?

Answer: For arbitrary numbers 3988, 4823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.