Highest Common Factor of 6943, 5661 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 6943, 5661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6943, 5661 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 6943, 5661 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 6943, 5661 is 1.

HCF(6943, 5661) = 1

HCF of 6943, 5661 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 6943, 5661 is 1.

Highest Common Factor of 6943,5661 using Euclid's algorithm

Highest Common Factor of 6943,5661 is 1

Step 1: Since 6943 > 5661, we apply the division lemma to 6943 and 5661, to get

6943 = 5661 x 1 + 1282

Step 2: Since the reminder 5661 ≠ 0, we apply division lemma to 1282 and 5661, to get

5661 = 1282 x 4 + 533

Step 3: We consider the new divisor 1282 and the new remainder 533, and apply the division lemma to get

1282 = 533 x 2 + 216

We consider the new divisor 533 and the new remainder 216,and apply the division lemma to get

533 = 216 x 2 + 101

We consider the new divisor 216 and the new remainder 101,and apply the division lemma to get

216 = 101 x 2 + 14

We consider the new divisor 101 and the new remainder 14,and apply the division lemma to get

101 = 14 x 7 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6943 and 5661 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(101,14) = HCF(216,101) = HCF(533,216) = HCF(1282,533) = HCF(5661,1282) = HCF(6943,5661) .

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Frequently Asked Questions on HCF of 6943, 5661 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 6943, 5661?

Answer: HCF of 6943, 5661 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6943, 5661 using Euclid's Algorithm?

Answer: For arbitrary numbers 6943, 5661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.