Highest Common Factor of 3439, 4639 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 3439, 4639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3439, 4639 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 3439, 4639 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 3439, 4639 is 1.

HCF(3439, 4639) = 1

HCF of 3439, 4639 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 3439, 4639 is 1.

Highest Common Factor of 3439,4639 using Euclid's algorithm

Highest Common Factor of 3439,4639 is 1

Step 1: Since 4639 > 3439, we apply the division lemma to 4639 and 3439, to get

4639 = 3439 x 1 + 1200

Step 2: Since the reminder 3439 ≠ 0, we apply division lemma to 1200 and 3439, to get

3439 = 1200 x 2 + 1039

Step 3: We consider the new divisor 1200 and the new remainder 1039, and apply the division lemma to get

1200 = 1039 x 1 + 161

We consider the new divisor 1039 and the new remainder 161,and apply the division lemma to get

1039 = 161 x 6 + 73

We consider the new divisor 161 and the new remainder 73,and apply the division lemma to get

161 = 73 x 2 + 15

We consider the new divisor 73 and the new remainder 15,and apply the division lemma to get

73 = 15 x 4 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 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 3439 and 4639 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(73,15) = HCF(161,73) = HCF(1039,161) = HCF(1200,1039) = HCF(3439,1200) = HCF(4639,3439) .

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Frequently Asked Questions on HCF of 3439, 4639 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 3439, 4639?

Answer: HCF of 3439, 4639 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3439, 4639 using Euclid's Algorithm?

Answer: For arbitrary numbers 3439, 4639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.