Highest Common Factor of 4583, 7049 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 4583, 7049 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4583, 7049 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 4583, 7049 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 4583, 7049 is 1.

HCF(4583, 7049) = 1

HCF of 4583, 7049 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 4583, 7049 is 1.

Highest Common Factor of 4583,7049 using Euclid's algorithm

Highest Common Factor of 4583,7049 is 1

Step 1: Since 7049 > 4583, we apply the division lemma to 7049 and 4583, to get

7049 = 4583 x 1 + 2466

Step 2: Since the reminder 4583 ≠ 0, we apply division lemma to 2466 and 4583, to get

4583 = 2466 x 1 + 2117

Step 3: We consider the new divisor 2466 and the new remainder 2117, and apply the division lemma to get

2466 = 2117 x 1 + 349

We consider the new divisor 2117 and the new remainder 349,and apply the division lemma to get

2117 = 349 x 6 + 23

We consider the new divisor 349 and the new remainder 23,and apply the division lemma to get

349 = 23 x 15 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 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 4583 and 7049 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(349,23) = HCF(2117,349) = HCF(2466,2117) = HCF(4583,2466) = HCF(7049,4583) .

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Frequently Asked Questions on HCF of 4583, 7049 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 4583, 7049?

Answer: HCF of 4583, 7049 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4583, 7049 using Euclid's Algorithm?

Answer: For arbitrary numbers 4583, 7049 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.