Highest Common Factor of 3589, 2282 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 3589, 2282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3589, 2282 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 3589, 2282 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 3589, 2282 is 1.

HCF(3589, 2282) = 1

HCF of 3589, 2282 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 3589, 2282 is 1.

Highest Common Factor of 3589,2282 using Euclid's algorithm

Highest Common Factor of 3589,2282 is 1

Step 1: Since 3589 > 2282, we apply the division lemma to 3589 and 2282, to get

3589 = 2282 x 1 + 1307

Step 2: Since the reminder 2282 ≠ 0, we apply division lemma to 1307 and 2282, to get

2282 = 1307 x 1 + 975

Step 3: We consider the new divisor 1307 and the new remainder 975, and apply the division lemma to get

1307 = 975 x 1 + 332

We consider the new divisor 975 and the new remainder 332,and apply the division lemma to get

975 = 332 x 2 + 311

We consider the new divisor 332 and the new remainder 311,and apply the division lemma to get

332 = 311 x 1 + 21

We consider the new divisor 311 and the new remainder 21,and apply the division lemma to get

311 = 21 x 14 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 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 3589 and 2282 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(311,21) = HCF(332,311) = HCF(975,332) = HCF(1307,975) = HCF(2282,1307) = HCF(3589,2282) .

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Frequently Asked Questions on HCF of 3589, 2282 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 3589, 2282?

Answer: HCF of 3589, 2282 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3589, 2282 using Euclid's Algorithm?

Answer: For arbitrary numbers 3589, 2282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.