Highest Common Factor of 3493, 9096 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 3493, 9096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3493, 9096 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 3493, 9096 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 3493, 9096 is 1.

HCF(3493, 9096) = 1

HCF of 3493, 9096 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 3493, 9096 is 1.

Highest Common Factor of 3493,9096 using Euclid's algorithm

Highest Common Factor of 3493,9096 is 1

Step 1: Since 9096 > 3493, we apply the division lemma to 9096 and 3493, to get

9096 = 3493 x 2 + 2110

Step 2: Since the reminder 3493 ≠ 0, we apply division lemma to 2110 and 3493, to get

3493 = 2110 x 1 + 1383

Step 3: We consider the new divisor 2110 and the new remainder 1383, and apply the division lemma to get

2110 = 1383 x 1 + 727

We consider the new divisor 1383 and the new remainder 727,and apply the division lemma to get

1383 = 727 x 1 + 656

We consider the new divisor 727 and the new remainder 656,and apply the division lemma to get

727 = 656 x 1 + 71

We consider the new divisor 656 and the new remainder 71,and apply the division lemma to get

656 = 71 x 9 + 17

We consider the new divisor 71 and the new remainder 17,and apply the division lemma to get

71 = 17 x 4 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3493 and 9096 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(71,17) = HCF(656,71) = HCF(727,656) = HCF(1383,727) = HCF(2110,1383) = HCF(3493,2110) = HCF(9096,3493) .

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Frequently Asked Questions on HCF of 3493, 9096 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 3493, 9096?

Answer: HCF of 3493, 9096 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3493, 9096 using Euclid's Algorithm?

Answer: For arbitrary numbers 3493, 9096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.