Highest Common Factor of 3589, 9208 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, 9208 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3589, 9208 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, 9208 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, 9208 is 1.

HCF(3589, 9208) = 1

HCF of 3589, 9208 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, 9208 is 1.

Highest Common Factor of 3589,9208 using Euclid's algorithm

Highest Common Factor of 3589,9208 is 1

Step 1: Since 9208 > 3589, we apply the division lemma to 9208 and 3589, to get

9208 = 3589 x 2 + 2030

Step 2: Since the reminder 3589 ≠ 0, we apply division lemma to 2030 and 3589, to get

3589 = 2030 x 1 + 1559

Step 3: We consider the new divisor 2030 and the new remainder 1559, and apply the division lemma to get

2030 = 1559 x 1 + 471

We consider the new divisor 1559 and the new remainder 471,and apply the division lemma to get

1559 = 471 x 3 + 146

We consider the new divisor 471 and the new remainder 146,and apply the division lemma to get

471 = 146 x 3 + 33

We consider the new divisor 146 and the new remainder 33,and apply the division lemma to get

146 = 33 x 4 + 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 3589 and 9208 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(146,33) = HCF(471,146) = HCF(1559,471) = HCF(2030,1559) = HCF(3589,2030) = HCF(9208,3589) .

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Frequently Asked Questions on HCF of 3589, 9208 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, 9208?

Answer: HCF of 3589, 9208 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3589, 9208 using Euclid's Algorithm?

Answer: For arbitrary numbers 3589, 9208 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.