Highest Common Factor of 4837, 5697 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 4837, 5697 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4837, 5697 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 4837, 5697 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 4837, 5697 is 1.

HCF(4837, 5697) = 1

HCF of 4837, 5697 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 4837, 5697 is 1.

Highest Common Factor of 4837,5697 using Euclid's algorithm

Highest Common Factor of 4837,5697 is 1

Step 1: Since 5697 > 4837, we apply the division lemma to 5697 and 4837, to get

5697 = 4837 x 1 + 860

Step 2: Since the reminder 4837 ≠ 0, we apply division lemma to 860 and 4837, to get

4837 = 860 x 5 + 537

Step 3: We consider the new divisor 860 and the new remainder 537, and apply the division lemma to get

860 = 537 x 1 + 323

We consider the new divisor 537 and the new remainder 323,and apply the division lemma to get

537 = 323 x 1 + 214

We consider the new divisor 323 and the new remainder 214,and apply the division lemma to get

323 = 214 x 1 + 109

We consider the new divisor 214 and the new remainder 109,and apply the division lemma to get

214 = 109 x 1 + 105

We consider the new divisor 109 and the new remainder 105,and apply the division lemma to get

109 = 105 x 1 + 4

We consider the new divisor 105 and the new remainder 4,and apply the division lemma to get

105 = 4 x 26 + 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 4837 and 5697 is 1

Notice that 1 = HCF(4,1) = HCF(105,4) = HCF(109,105) = HCF(214,109) = HCF(323,214) = HCF(537,323) = HCF(860,537) = HCF(4837,860) = HCF(5697,4837) .

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Frequently Asked Questions on HCF of 4837, 5697 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 4837, 5697?

Answer: HCF of 4837, 5697 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4837, 5697 using Euclid's Algorithm?

Answer: For arbitrary numbers 4837, 5697 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.