Highest Common Factor of 5837, 3263 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 5837, 3263 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 5837, 3263 is 13 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 5837, 3263 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 5837, 3263 is 13.

HCF(5837, 3263) = 13

HCF of 5837, 3263 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 5837, 3263 is 13.

Highest Common Factor of 5837,3263 using Euclid's algorithm

Highest Common Factor of 5837,3263 is 13

Step 1: Since 5837 > 3263, we apply the division lemma to 5837 and 3263, to get

5837 = 3263 x 1 + 2574

Step 2: Since the reminder 3263 ≠ 0, we apply division lemma to 2574 and 3263, to get

3263 = 2574 x 1 + 689

Step 3: We consider the new divisor 2574 and the new remainder 689, and apply the division lemma to get

2574 = 689 x 3 + 507

We consider the new divisor 689 and the new remainder 507,and apply the division lemma to get

689 = 507 x 1 + 182

We consider the new divisor 507 and the new remainder 182,and apply the division lemma to get

507 = 182 x 2 + 143

We consider the new divisor 182 and the new remainder 143,and apply the division lemma to get

182 = 143 x 1 + 39

We consider the new divisor 143 and the new remainder 39,and apply the division lemma to get

143 = 39 x 3 + 26

We consider the new divisor 39 and the new remainder 26,and apply the division lemma to get

39 = 26 x 1 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 5837 and 3263 is 13

Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(143,39) = HCF(182,143) = HCF(507,182) = HCF(689,507) = HCF(2574,689) = HCF(3263,2574) = HCF(5837,3263) .

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Frequently Asked Questions on HCF of 5837, 3263 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 5837, 3263?

Answer: HCF of 5837, 3263 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5837, 3263 using Euclid's Algorithm?

Answer: For arbitrary numbers 5837, 3263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.