Highest Common Factor of 2904, 5339 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 2904, 5339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2904, 5339 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 2904, 5339 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 2904, 5339 is 1.

HCF(2904, 5339) = 1

HCF of 2904, 5339 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 2904, 5339 is 1.

Highest Common Factor of 2904,5339 using Euclid's algorithm

Highest Common Factor of 2904,5339 is 1

Step 1: Since 5339 > 2904, we apply the division lemma to 5339 and 2904, to get

5339 = 2904 x 1 + 2435

Step 2: Since the reminder 2904 ≠ 0, we apply division lemma to 2435 and 2904, to get

2904 = 2435 x 1 + 469

Step 3: We consider the new divisor 2435 and the new remainder 469, and apply the division lemma to get

2435 = 469 x 5 + 90

We consider the new divisor 469 and the new remainder 90,and apply the division lemma to get

469 = 90 x 5 + 19

We consider the new divisor 90 and the new remainder 19,and apply the division lemma to get

90 = 19 x 4 + 14

We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get

19 = 14 x 1 + 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 2904 and 5339 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(90,19) = HCF(469,90) = HCF(2435,469) = HCF(2904,2435) = HCF(5339,2904) .

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Frequently Asked Questions on HCF of 2904, 5339 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 2904, 5339?

Answer: HCF of 2904, 5339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2904, 5339 using Euclid's Algorithm?

Answer: For arbitrary numbers 2904, 5339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.