Highest Common Factor of 3419, 8334 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 3419, 8334 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3419, 8334 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 3419, 8334 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 3419, 8334 is 1.

HCF(3419, 8334) = 1

HCF of 3419, 8334 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3419, 8334 is 1.

Highest Common Factor of 3419,8334 using Euclid's algorithm

Highest Common Factor of 3419,8334 is 1

Step 1: Since 8334 > 3419, we apply the division lemma to 8334 and 3419, to get

8334 = 3419 x 2 + 1496

Step 2: Since the reminder 3419 ≠ 0, we apply division lemma to 1496 and 3419, to get

3419 = 1496 x 2 + 427

Step 3: We consider the new divisor 1496 and the new remainder 427, and apply the division lemma to get

1496 = 427 x 3 + 215

We consider the new divisor 427 and the new remainder 215,and apply the division lemma to get

427 = 215 x 1 + 212

We consider the new divisor 215 and the new remainder 212,and apply the division lemma to get

215 = 212 x 1 + 3

We consider the new divisor 212 and the new remainder 3,and apply the division lemma to get

212 = 3 x 70 + 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 3419 and 8334 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(212,3) = HCF(215,212) = HCF(427,215) = HCF(1496,427) = HCF(3419,1496) = HCF(8334,3419) .

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Frequently Asked Questions on HCF of 3419, 8334 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 3419, 8334?

Answer: HCF of 3419, 8334 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3419, 8334 using Euclid's Algorithm?

Answer: For arbitrary numbers 3419, 8334 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.