Highest Common Factor of 3649, 8703 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 3649, 8703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3649, 8703 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 3649, 8703 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 3649, 8703 is 1.

HCF(3649, 8703) = 1

HCF of 3649, 8703 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 3649, 8703 is 1.

Highest Common Factor of 3649,8703 using Euclid's algorithm

Highest Common Factor of 3649,8703 is 1

Step 1: Since 8703 > 3649, we apply the division lemma to 8703 and 3649, to get

8703 = 3649 x 2 + 1405

Step 2: Since the reminder 3649 ≠ 0, we apply division lemma to 1405 and 3649, to get

3649 = 1405 x 2 + 839

Step 3: We consider the new divisor 1405 and the new remainder 839, and apply the division lemma to get

1405 = 839 x 1 + 566

We consider the new divisor 839 and the new remainder 566,and apply the division lemma to get

839 = 566 x 1 + 273

We consider the new divisor 566 and the new remainder 273,and apply the division lemma to get

566 = 273 x 2 + 20

We consider the new divisor 273 and the new remainder 20,and apply the division lemma to get

273 = 20 x 13 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3649 and 8703 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(273,20) = HCF(566,273) = HCF(839,566) = HCF(1405,839) = HCF(3649,1405) = HCF(8703,3649) .

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Frequently Asked Questions on HCF of 3649, 8703 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 3649, 8703?

Answer: HCF of 3649, 8703 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3649, 8703 using Euclid's Algorithm?

Answer: For arbitrary numbers 3649, 8703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.