Highest Common Factor of 3640, 3359 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 3640, 3359 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3640, 3359 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 3640, 3359 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 3640, 3359 is 1.

HCF(3640, 3359) = 1

HCF of 3640, 3359 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 3640, 3359 is 1.

Highest Common Factor of 3640,3359 using Euclid's algorithm

Highest Common Factor of 3640,3359 is 1

Step 1: Since 3640 > 3359, we apply the division lemma to 3640 and 3359, to get

3640 = 3359 x 1 + 281

Step 2: Since the reminder 3359 ≠ 0, we apply division lemma to 281 and 3359, to get

3359 = 281 x 11 + 268

Step 3: We consider the new divisor 281 and the new remainder 268, and apply the division lemma to get

281 = 268 x 1 + 13

We consider the new divisor 268 and the new remainder 13,and apply the division lemma to get

268 = 13 x 20 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3640 and 3359 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(268,13) = HCF(281,268) = HCF(3359,281) = HCF(3640,3359) .

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Frequently Asked Questions on HCF of 3640, 3359 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 3640, 3359?

Answer: HCF of 3640, 3359 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3640, 3359 using Euclid's Algorithm?

Answer: For arbitrary numbers 3640, 3359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.