Highest Common Factor of 2549, 5848 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 2549, 5848 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2549, 5848 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 2549, 5848 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 2549, 5848 is 1.

HCF(2549, 5848) = 1

HCF of 2549, 5848 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 2549, 5848 is 1.

Highest Common Factor of 2549,5848 using Euclid's algorithm

Highest Common Factor of 2549,5848 is 1

Step 1: Since 5848 > 2549, we apply the division lemma to 5848 and 2549, to get

5848 = 2549 x 2 + 750

Step 2: Since the reminder 2549 ≠ 0, we apply division lemma to 750 and 2549, to get

2549 = 750 x 3 + 299

Step 3: We consider the new divisor 750 and the new remainder 299, and apply the division lemma to get

750 = 299 x 2 + 152

We consider the new divisor 299 and the new remainder 152,and apply the division lemma to get

299 = 152 x 1 + 147

We consider the new divisor 152 and the new remainder 147,and apply the division lemma to get

152 = 147 x 1 + 5

We consider the new divisor 147 and the new remainder 5,and apply the division lemma to get

147 = 5 x 29 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2549 and 5848 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(147,5) = HCF(152,147) = HCF(299,152) = HCF(750,299) = HCF(2549,750) = HCF(5848,2549) .

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Frequently Asked Questions on HCF of 2549, 5848 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 2549, 5848?

Answer: HCF of 2549, 5848 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2549, 5848 using Euclid's Algorithm?

Answer: For arbitrary numbers 2549, 5848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.