Highest Common Factor of 6991, 4443 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 6991, 4443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6991, 4443 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 6991, 4443 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 6991, 4443 is 1.

HCF(6991, 4443) = 1

HCF of 6991, 4443 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 6991, 4443 is 1.

Highest Common Factor of 6991,4443 using Euclid's algorithm

Highest Common Factor of 6991,4443 is 1

Step 1: Since 6991 > 4443, we apply the division lemma to 6991 and 4443, to get

6991 = 4443 x 1 + 2548

Step 2: Since the reminder 4443 ≠ 0, we apply division lemma to 2548 and 4443, to get

4443 = 2548 x 1 + 1895

Step 3: We consider the new divisor 2548 and the new remainder 1895, and apply the division lemma to get

2548 = 1895 x 1 + 653

We consider the new divisor 1895 and the new remainder 653,and apply the division lemma to get

1895 = 653 x 2 + 589

We consider the new divisor 653 and the new remainder 589,and apply the division lemma to get

653 = 589 x 1 + 64

We consider the new divisor 589 and the new remainder 64,and apply the division lemma to get

589 = 64 x 9 + 13

We consider the new divisor 64 and the new remainder 13,and apply the division lemma to get

64 = 13 x 4 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6991 and 4443 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(64,13) = HCF(589,64) = HCF(653,589) = HCF(1895,653) = HCF(2548,1895) = HCF(4443,2548) = HCF(6991,4443) .

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Frequently Asked Questions on HCF of 6991, 4443 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 6991, 4443?

Answer: HCF of 6991, 4443 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6991, 4443 using Euclid's Algorithm?

Answer: For arbitrary numbers 6991, 4443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.