Highest Common Factor of 3493, 8438 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, 8438 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3493, 8438 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, 8438 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, 8438 is 1.

HCF(3493, 8438) = 1

HCF of 3493, 8438 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, 8438 is 1.

Highest Common Factor of 3493,8438 using Euclid's algorithm

Highest Common Factor of 3493,8438 is 1

Step 1: Since 8438 > 3493, we apply the division lemma to 8438 and 3493, to get

8438 = 3493 x 2 + 1452

Step 2: Since the reminder 3493 ≠ 0, we apply division lemma to 1452 and 3493, to get

3493 = 1452 x 2 + 589

Step 3: We consider the new divisor 1452 and the new remainder 589, and apply the division lemma to get

1452 = 589 x 2 + 274

We consider the new divisor 589 and the new remainder 274,and apply the division lemma to get

589 = 274 x 2 + 41

We consider the new divisor 274 and the new remainder 41,and apply the division lemma to get

274 = 41 x 6 + 28

We consider the new divisor 41 and the new remainder 28,and apply the division lemma to get

41 = 28 x 1 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 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 3493 and 8438 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(41,28) = HCF(274,41) = HCF(589,274) = HCF(1452,589) = HCF(3493,1452) = HCF(8438,3493) .

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Frequently Asked Questions on HCF of 3493, 8438 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, 8438?

Answer: HCF of 3493, 8438 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3493, 8438 using Euclid's Algorithm?

Answer: For arbitrary numbers 3493, 8438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.