Highest Common Factor of 8998, 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 8998, 4583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8998, 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 8998, 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 8998, 4583 is 1.

HCF(8998, 4583) = 1

HCF of 8998, 4583 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 8998, 4583 is 1.

Highest Common Factor of 8998,4583 using Euclid's algorithm

Highest Common Factor of 8998,4583 is 1

Step 1: Since 8998 > 4583, we apply the division lemma to 8998 and 4583, to get

8998 = 4583 x 1 + 4415

Step 2: Since the reminder 4583 ≠ 0, we apply division lemma to 4415 and 4583, to get

4583 = 4415 x 1 + 168

Step 3: We consider the new divisor 4415 and the new remainder 168, and apply the division lemma to get

4415 = 168 x 26 + 47

We consider the new divisor 168 and the new remainder 47,and apply the division lemma to get

168 = 47 x 3 + 27

We consider the new divisor 47 and the new remainder 27,and apply the division lemma to get

47 = 27 x 1 + 20

We consider the new divisor 27 and the new remainder 20,and apply the division lemma to get

27 = 20 x 1 + 7

We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get

20 = 7 x 2 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8998 and 4583 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(27,20) = HCF(47,27) = HCF(168,47) = HCF(4415,168) = HCF(4583,4415) = HCF(8998,4583) .

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Frequently Asked Questions on HCF of 8998, 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 8998, 4583?

Answer: HCF of 8998, 4583 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8998, 4583 using Euclid's Algorithm?

Answer: For arbitrary numbers 8998, 4583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.