Highest Common Factor of 9614, 5436 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 9614, 5436 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 9614, 5436 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 9614, 5436 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 9614, 5436 is 2.

HCF(9614, 5436) = 2

HCF of 9614, 5436 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 9614, 5436 is 2.

Highest Common Factor of 9614,5436 using Euclid's algorithm

Highest Common Factor of 9614,5436 is 2

Step 1: Since 9614 > 5436, we apply the division lemma to 9614 and 5436, to get

9614 = 5436 x 1 + 4178

Step 2: Since the reminder 5436 ≠ 0, we apply division lemma to 4178 and 5436, to get

5436 = 4178 x 1 + 1258

Step 3: We consider the new divisor 4178 and the new remainder 1258, and apply the division lemma to get

4178 = 1258 x 3 + 404

We consider the new divisor 1258 and the new remainder 404,and apply the division lemma to get

1258 = 404 x 3 + 46

We consider the new divisor 404 and the new remainder 46,and apply the division lemma to get

404 = 46 x 8 + 36

We consider the new divisor 46 and the new remainder 36,and apply the division lemma to get

46 = 36 x 1 + 10

We consider the new divisor 36 and the new remainder 10,and apply the division lemma to get

36 = 10 x 3 + 6

We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get

10 = 6 x 1 + 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 9614 and 5436 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(36,10) = HCF(46,36) = HCF(404,46) = HCF(1258,404) = HCF(4178,1258) = HCF(5436,4178) = HCF(9614,5436) .

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Frequently Asked Questions on HCF of 9614, 5436 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 9614, 5436?

Answer: HCF of 9614, 5436 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9614, 5436 using Euclid's Algorithm?

Answer: For arbitrary numbers 9614, 5436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.