Highest Common Factor of 7397, 3338 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 7397, 3338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7397, 3338 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 7397, 3338 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 7397, 3338 is 1.

HCF(7397, 3338) = 1

HCF of 7397, 3338 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 7397, 3338 is 1.

Highest Common Factor of 7397,3338 using Euclid's algorithm

Highest Common Factor of 7397,3338 is 1

Step 1: Since 7397 > 3338, we apply the division lemma to 7397 and 3338, to get

7397 = 3338 x 2 + 721

Step 2: Since the reminder 3338 ≠ 0, we apply division lemma to 721 and 3338, to get

3338 = 721 x 4 + 454

Step 3: We consider the new divisor 721 and the new remainder 454, and apply the division lemma to get

721 = 454 x 1 + 267

We consider the new divisor 454 and the new remainder 267,and apply the division lemma to get

454 = 267 x 1 + 187

We consider the new divisor 267 and the new remainder 187,and apply the division lemma to get

267 = 187 x 1 + 80

We consider the new divisor 187 and the new remainder 80,and apply the division lemma to get

187 = 80 x 2 + 27

We consider the new divisor 80 and the new remainder 27,and apply the division lemma to get

80 = 27 x 2 + 26

We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get

27 = 26 x 1 + 1

We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get

26 = 1 x 26 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7397 and 3338 is 1

Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(80,27) = HCF(187,80) = HCF(267,187) = HCF(454,267) = HCF(721,454) = HCF(3338,721) = HCF(7397,3338) .

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Frequently Asked Questions on HCF of 7397, 3338 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 7397, 3338?

Answer: HCF of 7397, 3338 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7397, 3338 using Euclid's Algorithm?

Answer: For arbitrary numbers 7397, 3338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.