Highest Common Factor of 5837, 8260 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, 8260 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5837, 8260 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 5837, 8260 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, 8260 is 1.

HCF(5837, 8260) = 1

HCF of 5837, 8260 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, 8260 is 1.

Highest Common Factor of 5837,8260 using Euclid's algorithm

Highest Common Factor of 5837,8260 is 1

Step 1: Since 8260 > 5837, we apply the division lemma to 8260 and 5837, to get

8260 = 5837 x 1 + 2423

Step 2: Since the reminder 5837 ≠ 0, we apply division lemma to 2423 and 5837, to get

5837 = 2423 x 2 + 991

Step 3: We consider the new divisor 2423 and the new remainder 991, and apply the division lemma to get

2423 = 991 x 2 + 441

We consider the new divisor 991 and the new remainder 441,and apply the division lemma to get

991 = 441 x 2 + 109

We consider the new divisor 441 and the new remainder 109,and apply the division lemma to get

441 = 109 x 4 + 5

We consider the new divisor 109 and the new remainder 5,and apply the division lemma to get

109 = 5 x 21 + 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 5837 and 8260 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(109,5) = HCF(441,109) = HCF(991,441) = HCF(2423,991) = HCF(5837,2423) = HCF(8260,5837) .

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Frequently Asked Questions on HCF of 5837, 8260 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, 8260?

Answer: HCF of 5837, 8260 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5837, 8260 using Euclid's Algorithm?

Answer: For arbitrary numbers 5837, 8260 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.