Highest Common Factor of 8739, 3419 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 8739, 3419 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8739, 3419 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 8739, 3419 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 8739, 3419 is 1.

HCF(8739, 3419) = 1

HCF of 8739, 3419 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 8739, 3419 is 1.

Highest Common Factor of 8739,3419 using Euclid's algorithm

Highest Common Factor of 8739,3419 is 1

Step 1: Since 8739 > 3419, we apply the division lemma to 8739 and 3419, to get

8739 = 3419 x 2 + 1901

Step 2: Since the reminder 3419 ≠ 0, we apply division lemma to 1901 and 3419, to get

3419 = 1901 x 1 + 1518

Step 3: We consider the new divisor 1901 and the new remainder 1518, and apply the division lemma to get

1901 = 1518 x 1 + 383

We consider the new divisor 1518 and the new remainder 383,and apply the division lemma to get

1518 = 383 x 3 + 369

We consider the new divisor 383 and the new remainder 369,and apply the division lemma to get

383 = 369 x 1 + 14

We consider the new divisor 369 and the new remainder 14,and apply the division lemma to get

369 = 14 x 26 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8739 and 3419 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(369,14) = HCF(383,369) = HCF(1518,383) = HCF(1901,1518) = HCF(3419,1901) = HCF(8739,3419) .

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Frequently Asked Questions on HCF of 8739, 3419 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 8739, 3419?

Answer: HCF of 8739, 3419 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8739, 3419 using Euclid's Algorithm?

Answer: For arbitrary numbers 8739, 3419 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.