Highest Common Factor of 4040, 6823 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 4040, 6823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4040, 6823 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 4040, 6823 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 4040, 6823 is 1.

HCF(4040, 6823) = 1

HCF of 4040, 6823 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 4040, 6823 is 1.

Highest Common Factor of 4040,6823 using Euclid's algorithm

Highest Common Factor of 4040,6823 is 1

Step 1: Since 6823 > 4040, we apply the division lemma to 6823 and 4040, to get

6823 = 4040 x 1 + 2783

Step 2: Since the reminder 4040 ≠ 0, we apply division lemma to 2783 and 4040, to get

4040 = 2783 x 1 + 1257

Step 3: We consider the new divisor 2783 and the new remainder 1257, and apply the division lemma to get

2783 = 1257 x 2 + 269

We consider the new divisor 1257 and the new remainder 269,and apply the division lemma to get

1257 = 269 x 4 + 181

We consider the new divisor 269 and the new remainder 181,and apply the division lemma to get

269 = 181 x 1 + 88

We consider the new divisor 181 and the new remainder 88,and apply the division lemma to get

181 = 88 x 2 + 5

We consider the new divisor 88 and the new remainder 5,and apply the division lemma to get

88 = 5 x 17 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 4040 and 6823 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(88,5) = HCF(181,88) = HCF(269,181) = HCF(1257,269) = HCF(2783,1257) = HCF(4040,2783) = HCF(6823,4040) .

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Frequently Asked Questions on HCF of 4040, 6823 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 4040, 6823?

Answer: HCF of 4040, 6823 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4040, 6823 using Euclid's Algorithm?

Answer: For arbitrary numbers 4040, 6823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.