Highest Common Factor of 8089, 5649 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 8089, 5649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8089, 5649 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 8089, 5649 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 8089, 5649 is 1.

HCF(8089, 5649) = 1

HCF of 8089, 5649 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 8089, 5649 is 1.

Highest Common Factor of 8089,5649 using Euclid's algorithm

Highest Common Factor of 8089,5649 is 1

Step 1: Since 8089 > 5649, we apply the division lemma to 8089 and 5649, to get

8089 = 5649 x 1 + 2440

Step 2: Since the reminder 5649 ≠ 0, we apply division lemma to 2440 and 5649, to get

5649 = 2440 x 2 + 769

Step 3: We consider the new divisor 2440 and the new remainder 769, and apply the division lemma to get

2440 = 769 x 3 + 133

We consider the new divisor 769 and the new remainder 133,and apply the division lemma to get

769 = 133 x 5 + 104

We consider the new divisor 133 and the new remainder 104,and apply the division lemma to get

133 = 104 x 1 + 29

We consider the new divisor 104 and the new remainder 29,and apply the division lemma to get

104 = 29 x 3 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 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 8089 and 5649 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(104,29) = HCF(133,104) = HCF(769,133) = HCF(2440,769) = HCF(5649,2440) = HCF(8089,5649) .

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Frequently Asked Questions on HCF of 8089, 5649 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 8089, 5649?

Answer: HCF of 8089, 5649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8089, 5649 using Euclid's Algorithm?

Answer: For arbitrary numbers 8089, 5649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.