Highest Common Factor of 7696, 9434 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 7696, 9434 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 7696, 9434 is 2 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 7696, 9434 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 7696, 9434 is 2.

HCF(7696, 9434) = 2

HCF of 7696, 9434 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 7696, 9434 is 2.

Highest Common Factor of 7696,9434 using Euclid's algorithm

Highest Common Factor of 7696,9434 is 2

Step 1: Since 9434 > 7696, we apply the division lemma to 9434 and 7696, to get

9434 = 7696 x 1 + 1738

Step 2: Since the reminder 7696 ≠ 0, we apply division lemma to 1738 and 7696, to get

7696 = 1738 x 4 + 744

Step 3: We consider the new divisor 1738 and the new remainder 744, and apply the division lemma to get

1738 = 744 x 2 + 250

We consider the new divisor 744 and the new remainder 250,and apply the division lemma to get

744 = 250 x 2 + 244

We consider the new divisor 250 and the new remainder 244,and apply the division lemma to get

250 = 244 x 1 + 6

We consider the new divisor 244 and the new remainder 6,and apply the division lemma to get

244 = 6 x 40 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7696 and 9434 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(244,6) = HCF(250,244) = HCF(744,250) = HCF(1738,744) = HCF(7696,1738) = HCF(9434,7696) .

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Frequently Asked Questions on HCF of 7696, 9434 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 7696, 9434?

Answer: HCF of 7696, 9434 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7696, 9434 using Euclid's Algorithm?

Answer: For arbitrary numbers 7696, 9434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.