Highest Common Factor of 8443, 4567 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 8443, 4567 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8443, 4567 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 8443, 4567 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 8443, 4567 is 1.

HCF(8443, 4567) = 1

HCF of 8443, 4567 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 8443, 4567 is 1.

Highest Common Factor of 8443,4567 using Euclid's algorithm

Highest Common Factor of 8443,4567 is 1

Step 1: Since 8443 > 4567, we apply the division lemma to 8443 and 4567, to get

8443 = 4567 x 1 + 3876

Step 2: Since the reminder 4567 ≠ 0, we apply division lemma to 3876 and 4567, to get

4567 = 3876 x 1 + 691

Step 3: We consider the new divisor 3876 and the new remainder 691, and apply the division lemma to get

3876 = 691 x 5 + 421

We consider the new divisor 691 and the new remainder 421,and apply the division lemma to get

691 = 421 x 1 + 270

We consider the new divisor 421 and the new remainder 270,and apply the division lemma to get

421 = 270 x 1 + 151

We consider the new divisor 270 and the new remainder 151,and apply the division lemma to get

270 = 151 x 1 + 119

We consider the new divisor 151 and the new remainder 119,and apply the division lemma to get

151 = 119 x 1 + 32

We consider the new divisor 119 and the new remainder 32,and apply the division lemma to get

119 = 32 x 3 + 23

We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get

32 = 23 x 1 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8443 and 4567 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(119,32) = HCF(151,119) = HCF(270,151) = HCF(421,270) = HCF(691,421) = HCF(3876,691) = HCF(4567,3876) = HCF(8443,4567) .

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Frequently Asked Questions on HCF of 8443, 4567 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 8443, 4567?

Answer: HCF of 8443, 4567 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8443, 4567 using Euclid's Algorithm?

Answer: For arbitrary numbers 8443, 4567 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.