Highest Common Factor of 8709, 3533 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 8709, 3533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8709, 3533 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 8709, 3533 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 8709, 3533 is 1.

HCF(8709, 3533) = 1

HCF of 8709, 3533 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 8709, 3533 is 1.

Highest Common Factor of 8709,3533 using Euclid's algorithm

Highest Common Factor of 8709,3533 is 1

Step 1: Since 8709 > 3533, we apply the division lemma to 8709 and 3533, to get

8709 = 3533 x 2 + 1643

Step 2: Since the reminder 3533 ≠ 0, we apply division lemma to 1643 and 3533, to get

3533 = 1643 x 2 + 247

Step 3: We consider the new divisor 1643 and the new remainder 247, and apply the division lemma to get

1643 = 247 x 6 + 161

We consider the new divisor 247 and the new remainder 161,and apply the division lemma to get

247 = 161 x 1 + 86

We consider the new divisor 161 and the new remainder 86,and apply the division lemma to get

161 = 86 x 1 + 75

We consider the new divisor 86 and the new remainder 75,and apply the division lemma to get

86 = 75 x 1 + 11

We consider the new divisor 75 and the new remainder 11,and apply the division lemma to get

75 = 11 x 6 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 8709 and 3533 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(75,11) = HCF(86,75) = HCF(161,86) = HCF(247,161) = HCF(1643,247) = HCF(3533,1643) = HCF(8709,3533) .

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Frequently Asked Questions on HCF of 8709, 3533 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 8709, 3533?

Answer: HCF of 8709, 3533 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8709, 3533 using Euclid's Algorithm?

Answer: For arbitrary numbers 8709, 3533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.