Highest Common Factor of 4377, 4583 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 4377, 4583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4377, 4583 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 4377, 4583 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 4377, 4583 is 1.

HCF(4377, 4583) = 1

HCF of 4377, 4583 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 4377, 4583 is 1.

Highest Common Factor of 4377,4583 using Euclid's algorithm

Highest Common Factor of 4377,4583 is 1

Step 1: Since 4583 > 4377, we apply the division lemma to 4583 and 4377, to get

4583 = 4377 x 1 + 206

Step 2: Since the reminder 4377 ≠ 0, we apply division lemma to 206 and 4377, to get

4377 = 206 x 21 + 51

Step 3: We consider the new divisor 206 and the new remainder 51, and apply the division lemma to get

206 = 51 x 4 + 2

We consider the new divisor 51 and the new remainder 2,and apply the division lemma to get

51 = 2 x 25 + 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 4377 and 4583 is 1

Notice that 1 = HCF(2,1) = HCF(51,2) = HCF(206,51) = HCF(4377,206) = HCF(4583,4377) .

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Frequently Asked Questions on HCF of 4377, 4583 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 4377, 4583?

Answer: HCF of 4377, 4583 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4377, 4583 using Euclid's Algorithm?

Answer: For arbitrary numbers 4377, 4583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.