Highest Common Factor of 6395, 3494 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 6395, 3494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6395, 3494 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 6395, 3494 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 6395, 3494 is 1.

HCF(6395, 3494) = 1

HCF of 6395, 3494 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 6395, 3494 is 1.

Highest Common Factor of 6395,3494 using Euclid's algorithm

Highest Common Factor of 6395,3494 is 1

Step 1: Since 6395 > 3494, we apply the division lemma to 6395 and 3494, to get

6395 = 3494 x 1 + 2901

Step 2: Since the reminder 3494 ≠ 0, we apply division lemma to 2901 and 3494, to get

3494 = 2901 x 1 + 593

Step 3: We consider the new divisor 2901 and the new remainder 593, and apply the division lemma to get

2901 = 593 x 4 + 529

We consider the new divisor 593 and the new remainder 529,and apply the division lemma to get

593 = 529 x 1 + 64

We consider the new divisor 529 and the new remainder 64,and apply the division lemma to get

529 = 64 x 8 + 17

We consider the new divisor 64 and the new remainder 17,and apply the division lemma to get

64 = 17 x 3 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 6395 and 3494 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(64,17) = HCF(529,64) = HCF(593,529) = HCF(2901,593) = HCF(3494,2901) = HCF(6395,3494) .

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Frequently Asked Questions on HCF of 6395, 3494 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 6395, 3494?

Answer: HCF of 6395, 3494 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6395, 3494 using Euclid's Algorithm?

Answer: For arbitrary numbers 6395, 3494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.