Highest Common Factor of 8999, 2258 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 8999, 2258 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8999, 2258 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 8999, 2258 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 8999, 2258 is 1.

HCF(8999, 2258) = 1

HCF of 8999, 2258 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 8999, 2258 is 1.

Highest Common Factor of 8999,2258 using Euclid's algorithm

Highest Common Factor of 8999,2258 is 1

Step 1: Since 8999 > 2258, we apply the division lemma to 8999 and 2258, to get

8999 = 2258 x 3 + 2225

Step 2: Since the reminder 2258 ≠ 0, we apply division lemma to 2225 and 2258, to get

2258 = 2225 x 1 + 33

Step 3: We consider the new divisor 2225 and the new remainder 33, and apply the division lemma to get

2225 = 33 x 67 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8999 and 2258 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(2225,33) = HCF(2258,2225) = HCF(8999,2258) .

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Frequently Asked Questions on HCF of 8999, 2258 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 8999, 2258?

Answer: HCF of 8999, 2258 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8999, 2258 using Euclid's Algorithm?

Answer: For arbitrary numbers 8999, 2258 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.