Highest Common Factor of 3347, 8015 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 3347, 8015 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3347, 8015 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 3347, 8015 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 3347, 8015 is 1.

HCF(3347, 8015) = 1

HCF of 3347, 8015 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 3347, 8015 is 1.

Highest Common Factor of 3347,8015 using Euclid's algorithm

Highest Common Factor of 3347,8015 is 1

Step 1: Since 8015 > 3347, we apply the division lemma to 8015 and 3347, to get

8015 = 3347 x 2 + 1321

Step 2: Since the reminder 3347 ≠ 0, we apply division lemma to 1321 and 3347, to get

3347 = 1321 x 2 + 705

Step 3: We consider the new divisor 1321 and the new remainder 705, and apply the division lemma to get

1321 = 705 x 1 + 616

We consider the new divisor 705 and the new remainder 616,and apply the division lemma to get

705 = 616 x 1 + 89

We consider the new divisor 616 and the new remainder 89,and apply the division lemma to get

616 = 89 x 6 + 82

We consider the new divisor 89 and the new remainder 82,and apply the division lemma to get

89 = 82 x 1 + 7

We consider the new divisor 82 and the new remainder 7,and apply the division lemma to get

82 = 7 x 11 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3347 and 8015 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(82,7) = HCF(89,82) = HCF(616,89) = HCF(705,616) = HCF(1321,705) = HCF(3347,1321) = HCF(8015,3347) .

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Frequently Asked Questions on HCF of 3347, 8015 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 3347, 8015?

Answer: HCF of 3347, 8015 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3347, 8015 using Euclid's Algorithm?

Answer: For arbitrary numbers 3347, 8015 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.