Highest Common Factor of 3317, 7901 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 3317, 7901 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3317, 7901 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 3317, 7901 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 3317, 7901 is 1.

HCF(3317, 7901) = 1

HCF of 3317, 7901 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 3317, 7901 is 1.

Highest Common Factor of 3317,7901 using Euclid's algorithm

Highest Common Factor of 3317,7901 is 1

Step 1: Since 7901 > 3317, we apply the division lemma to 7901 and 3317, to get

7901 = 3317 x 2 + 1267

Step 2: Since the reminder 3317 ≠ 0, we apply division lemma to 1267 and 3317, to get

3317 = 1267 x 2 + 783

Step 3: We consider the new divisor 1267 and the new remainder 783, and apply the division lemma to get

1267 = 783 x 1 + 484

We consider the new divisor 783 and the new remainder 484,and apply the division lemma to get

783 = 484 x 1 + 299

We consider the new divisor 484 and the new remainder 299,and apply the division lemma to get

484 = 299 x 1 + 185

We consider the new divisor 299 and the new remainder 185,and apply the division lemma to get

299 = 185 x 1 + 114

We consider the new divisor 185 and the new remainder 114,and apply the division lemma to get

185 = 114 x 1 + 71

We consider the new divisor 114 and the new remainder 71,and apply the division lemma to get

114 = 71 x 1 + 43

We consider the new divisor 71 and the new remainder 43,and apply the division lemma to get

71 = 43 x 1 + 28

We consider the new divisor 43 and the new remainder 28,and apply the division lemma to get

43 = 28 x 1 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 3317 and 7901 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(43,28) = HCF(71,43) = HCF(114,71) = HCF(185,114) = HCF(299,185) = HCF(484,299) = HCF(783,484) = HCF(1267,783) = HCF(3317,1267) = HCF(7901,3317) .

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Frequently Asked Questions on HCF of 3317, 7901 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 3317, 7901?

Answer: HCF of 3317, 7901 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3317, 7901 using Euclid's Algorithm?

Answer: For arbitrary numbers 3317, 7901 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.