Highest Common Factor of 8289, 8894 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 8289, 8894 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8289, 8894 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 8289, 8894 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 8289, 8894 is 1.

HCF(8289, 8894) = 1

HCF of 8289, 8894 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 8289, 8894 is 1.

Highest Common Factor of 8289,8894 using Euclid's algorithm

Highest Common Factor of 8289,8894 is 1

Step 1: Since 8894 > 8289, we apply the division lemma to 8894 and 8289, to get

8894 = 8289 x 1 + 605

Step 2: Since the reminder 8289 ≠ 0, we apply division lemma to 605 and 8289, to get

8289 = 605 x 13 + 424

Step 3: We consider the new divisor 605 and the new remainder 424, and apply the division lemma to get

605 = 424 x 1 + 181

We consider the new divisor 424 and the new remainder 181,and apply the division lemma to get

424 = 181 x 2 + 62

We consider the new divisor 181 and the new remainder 62,and apply the division lemma to get

181 = 62 x 2 + 57

We consider the new divisor 62 and the new remainder 57,and apply the division lemma to get

62 = 57 x 1 + 5

We consider the new divisor 57 and the new remainder 5,and apply the division lemma to get

57 = 5 x 11 + 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 8289 and 8894 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(57,5) = HCF(62,57) = HCF(181,62) = HCF(424,181) = HCF(605,424) = HCF(8289,605) = HCF(8894,8289) .

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Frequently Asked Questions on HCF of 8289, 8894 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 8289, 8894?

Answer: HCF of 8289, 8894 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8289, 8894 using Euclid's Algorithm?

Answer: For arbitrary numbers 8289, 8894 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.