Highest Common Factor of 5848, 4827 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 5848, 4827 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5848, 4827 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 5848, 4827 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 5848, 4827 is 1.

HCF(5848, 4827) = 1

HCF of 5848, 4827 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 5848, 4827 is 1.

Highest Common Factor of 5848,4827 using Euclid's algorithm

Highest Common Factor of 5848,4827 is 1

Step 1: Since 5848 > 4827, we apply the division lemma to 5848 and 4827, to get

5848 = 4827 x 1 + 1021

Step 2: Since the reminder 4827 ≠ 0, we apply division lemma to 1021 and 4827, to get

4827 = 1021 x 4 + 743

Step 3: We consider the new divisor 1021 and the new remainder 743, and apply the division lemma to get

1021 = 743 x 1 + 278

We consider the new divisor 743 and the new remainder 278,and apply the division lemma to get

743 = 278 x 2 + 187

We consider the new divisor 278 and the new remainder 187,and apply the division lemma to get

278 = 187 x 1 + 91

We consider the new divisor 187 and the new remainder 91,and apply the division lemma to get

187 = 91 x 2 + 5

We consider the new divisor 91 and the new remainder 5,and apply the division lemma to get

91 = 5 x 18 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5848 and 4827 is 1

Notice that 1 = HCF(5,1) = HCF(91,5) = HCF(187,91) = HCF(278,187) = HCF(743,278) = HCF(1021,743) = HCF(4827,1021) = HCF(5848,4827) .

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Frequently Asked Questions on HCF of 5848, 4827 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 5848, 4827?

Answer: HCF of 5848, 4827 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5848, 4827 using Euclid's Algorithm?

Answer: For arbitrary numbers 5848, 4827 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.