Highest Common Factor of 4423, 6590 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, 6590 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4423, 6590 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, 6590 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, 6590 is 1.

HCF(4423, 6590) = 1

HCF of 4423, 6590 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, 6590 is 1.

Highest Common Factor of 4423,6590 using Euclid's algorithm

Highest Common Factor of 4423,6590 is 1

Step 1: Since 6590 > 4423, we apply the division lemma to 6590 and 4423, to get

6590 = 4423 x 1 + 2167

Step 2: Since the reminder 4423 ≠ 0, we apply division lemma to 2167 and 4423, to get

4423 = 2167 x 2 + 89

Step 3: We consider the new divisor 2167 and the new remainder 89, and apply the division lemma to get

2167 = 89 x 24 + 31

We consider the new divisor 89 and the new remainder 31,and apply the division lemma to get

89 = 31 x 2 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 4423 and 6590 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(89,31) = HCF(2167,89) = HCF(4423,2167) = HCF(6590,4423) .

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Frequently Asked Questions on HCF of 4423, 6590 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, 6590?

Answer: HCF of 4423, 6590 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4423, 6590 using Euclid's Algorithm?

Answer: For arbitrary numbers 4423, 6590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.