Highest Common Factor of 4009, 5775 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 4009, 5775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4009, 5775 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 4009, 5775 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 4009, 5775 is 1.

HCF(4009, 5775) = 1

HCF of 4009, 5775 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 4009, 5775 is 1.

Highest Common Factor of 4009,5775 using Euclid's algorithm

Highest Common Factor of 4009,5775 is 1

Step 1: Since 5775 > 4009, we apply the division lemma to 5775 and 4009, to get

5775 = 4009 x 1 + 1766

Step 2: Since the reminder 4009 ≠ 0, we apply division lemma to 1766 and 4009, to get

4009 = 1766 x 2 + 477

Step 3: We consider the new divisor 1766 and the new remainder 477, and apply the division lemma to get

1766 = 477 x 3 + 335

We consider the new divisor 477 and the new remainder 335,and apply the division lemma to get

477 = 335 x 1 + 142

We consider the new divisor 335 and the new remainder 142,and apply the division lemma to get

335 = 142 x 2 + 51

We consider the new divisor 142 and the new remainder 51,and apply the division lemma to get

142 = 51 x 2 + 40

We consider the new divisor 51 and the new remainder 40,and apply the division lemma to get

51 = 40 x 1 + 11

We consider the new divisor 40 and the new remainder 11,and apply the division lemma to get

40 = 11 x 3 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4009 and 5775 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(40,11) = HCF(51,40) = HCF(142,51) = HCF(335,142) = HCF(477,335) = HCF(1766,477) = HCF(4009,1766) = HCF(5775,4009) .

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Frequently Asked Questions on HCF of 4009, 5775 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 4009, 5775?

Answer: HCF of 4009, 5775 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4009, 5775 using Euclid's Algorithm?

Answer: For arbitrary numbers 4009, 5775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.