Highest Common Factor of 4493, 7583 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 4493, 7583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4493, 7583 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 4493, 7583 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 4493, 7583 is 1.

HCF(4493, 7583) = 1

HCF of 4493, 7583 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 4493, 7583 is 1.

Highest Common Factor of 4493,7583 using Euclid's algorithm

Highest Common Factor of 4493,7583 is 1

Step 1: Since 7583 > 4493, we apply the division lemma to 7583 and 4493, to get

7583 = 4493 x 1 + 3090

Step 2: Since the reminder 4493 ≠ 0, we apply division lemma to 3090 and 4493, to get

4493 = 3090 x 1 + 1403

Step 3: We consider the new divisor 3090 and the new remainder 1403, and apply the division lemma to get

3090 = 1403 x 2 + 284

We consider the new divisor 1403 and the new remainder 284,and apply the division lemma to get

1403 = 284 x 4 + 267

We consider the new divisor 284 and the new remainder 267,and apply the division lemma to get

284 = 267 x 1 + 17

We consider the new divisor 267 and the new remainder 17,and apply the division lemma to get

267 = 17 x 15 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4493 and 7583 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(267,17) = HCF(284,267) = HCF(1403,284) = HCF(3090,1403) = HCF(4493,3090) = HCF(7583,4493) .

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Frequently Asked Questions on HCF of 4493, 7583 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 4493, 7583?

Answer: HCF of 4493, 7583 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4493, 7583 using Euclid's Algorithm?

Answer: For arbitrary numbers 4493, 7583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.