Highest Common Factor of 8089, 2922 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, 2922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8089, 2922 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, 2922 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, 2922 is 1.

HCF(8089, 2922) = 1

HCF of 8089, 2922 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 8089, 2922 is 1.

Highest Common Factor of 8089,2922 using Euclid's algorithm

Highest Common Factor of 8089,2922 is 1

Step 1: Since 8089 > 2922, we apply the division lemma to 8089 and 2922, to get

8089 = 2922 x 2 + 2245

Step 2: Since the reminder 2922 ≠ 0, we apply division lemma to 2245 and 2922, to get

2922 = 2245 x 1 + 677

Step 3: We consider the new divisor 2245 and the new remainder 677, and apply the division lemma to get

2245 = 677 x 3 + 214

We consider the new divisor 677 and the new remainder 214,and apply the division lemma to get

677 = 214 x 3 + 35

We consider the new divisor 214 and the new remainder 35,and apply the division lemma to get

214 = 35 x 6 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8089 and 2922 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(214,35) = HCF(677,214) = HCF(2245,677) = HCF(2922,2245) = HCF(8089,2922) .

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Frequently Asked Questions on HCF of 8089, 2922 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, 2922?

Answer: HCF of 8089, 2922 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8089, 2922 using Euclid's Algorithm?

Answer: For arbitrary numbers 8089, 2922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.