Highest Common Factor of 6443, 4885 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 6443, 4885 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6443, 4885 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 6443, 4885 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 6443, 4885 is 1.

HCF(6443, 4885) = 1

HCF of 6443, 4885 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 6443, 4885 is 1.

Highest Common Factor of 6443,4885 using Euclid's algorithm

Highest Common Factor of 6443,4885 is 1

Step 1: Since 6443 > 4885, we apply the division lemma to 6443 and 4885, to get

6443 = 4885 x 1 + 1558

Step 2: Since the reminder 4885 ≠ 0, we apply division lemma to 1558 and 4885, to get

4885 = 1558 x 3 + 211

Step 3: We consider the new divisor 1558 and the new remainder 211, and apply the division lemma to get

1558 = 211 x 7 + 81

We consider the new divisor 211 and the new remainder 81,and apply the division lemma to get

211 = 81 x 2 + 49

We consider the new divisor 81 and the new remainder 49,and apply the division lemma to get

81 = 49 x 1 + 32

We consider the new divisor 49 and the new remainder 32,and apply the division lemma to get

49 = 32 x 1 + 17

We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get

32 = 17 x 1 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6443 and 4885 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(49,32) = HCF(81,49) = HCF(211,81) = HCF(1558,211) = HCF(4885,1558) = HCF(6443,4885) .

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Frequently Asked Questions on HCF of 6443, 4885 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 6443, 4885?

Answer: HCF of 6443, 4885 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6443, 4885 using Euclid's Algorithm?

Answer: For arbitrary numbers 6443, 4885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.