Highest Common Factor of 4421, 8064 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 4421, 8064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4421, 8064 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 4421, 8064 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 4421, 8064 is 1.

HCF(4421, 8064) = 1

HCF of 4421, 8064 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 4421, 8064 is 1.

Highest Common Factor of 4421,8064 using Euclid's algorithm

Highest Common Factor of 4421,8064 is 1

Step 1: Since 8064 > 4421, we apply the division lemma to 8064 and 4421, to get

8064 = 4421 x 1 + 3643

Step 2: Since the reminder 4421 ≠ 0, we apply division lemma to 3643 and 4421, to get

4421 = 3643 x 1 + 778

Step 3: We consider the new divisor 3643 and the new remainder 778, and apply the division lemma to get

3643 = 778 x 4 + 531

We consider the new divisor 778 and the new remainder 531,and apply the division lemma to get

778 = 531 x 1 + 247

We consider the new divisor 531 and the new remainder 247,and apply the division lemma to get

531 = 247 x 2 + 37

We consider the new divisor 247 and the new remainder 37,and apply the division lemma to get

247 = 37 x 6 + 25

We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get

37 = 25 x 1 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 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 4421 and 8064 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(247,37) = HCF(531,247) = HCF(778,531) = HCF(3643,778) = HCF(4421,3643) = HCF(8064,4421) .

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Frequently Asked Questions on HCF of 4421, 8064 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 4421, 8064?

Answer: HCF of 4421, 8064 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4421, 8064 using Euclid's Algorithm?

Answer: For arbitrary numbers 4421, 8064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.