Highest Common Factor of 4423, 2823 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 4423, 2823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4423, 2823 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 4423, 2823 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 4423, 2823 is 1.

HCF(4423, 2823) = 1

HCF of 4423, 2823 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 4423, 2823 is 1.

Highest Common Factor of 4423,2823 using Euclid's algorithm

Highest Common Factor of 4423,2823 is 1

Step 1: Since 4423 > 2823, we apply the division lemma to 4423 and 2823, to get

4423 = 2823 x 1 + 1600

Step 2: Since the reminder 2823 ≠ 0, we apply division lemma to 1600 and 2823, to get

2823 = 1600 x 1 + 1223

Step 3: We consider the new divisor 1600 and the new remainder 1223, and apply the division lemma to get

1600 = 1223 x 1 + 377

We consider the new divisor 1223 and the new remainder 377,and apply the division lemma to get

1223 = 377 x 3 + 92

We consider the new divisor 377 and the new remainder 92,and apply the division lemma to get

377 = 92 x 4 + 9

We consider the new divisor 92 and the new remainder 9,and apply the division lemma to get

92 = 9 x 10 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 4423 and 2823 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(92,9) = HCF(377,92) = HCF(1223,377) = HCF(1600,1223) = HCF(2823,1600) = HCF(4423,2823) .

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Frequently Asked Questions on HCF of 4423, 2823 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 4423, 2823?

Answer: HCF of 4423, 2823 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4423, 2823 using Euclid's Algorithm?

Answer: For arbitrary numbers 4423, 2823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.