Highest Common Factor of 5852, 9283 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 5852, 9283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5852, 9283 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 5852, 9283 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 5852, 9283 is 1.

HCF(5852, 9283) = 1

HCF of 5852, 9283 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 5852, 9283 is 1.

Highest Common Factor of 5852,9283 using Euclid's algorithm

Highest Common Factor of 5852,9283 is 1

Step 1: Since 9283 > 5852, we apply the division lemma to 9283 and 5852, to get

9283 = 5852 x 1 + 3431

Step 2: Since the reminder 5852 ≠ 0, we apply division lemma to 3431 and 5852, to get

5852 = 3431 x 1 + 2421

Step 3: We consider the new divisor 3431 and the new remainder 2421, and apply the division lemma to get

3431 = 2421 x 1 + 1010

We consider the new divisor 2421 and the new remainder 1010,and apply the division lemma to get

2421 = 1010 x 2 + 401

We consider the new divisor 1010 and the new remainder 401,and apply the division lemma to get

1010 = 401 x 2 + 208

We consider the new divisor 401 and the new remainder 208,and apply the division lemma to get

401 = 208 x 1 + 193

We consider the new divisor 208 and the new remainder 193,and apply the division lemma to get

208 = 193 x 1 + 15

We consider the new divisor 193 and the new remainder 15,and apply the division lemma to get

193 = 15 x 12 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 5852 and 9283 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(193,15) = HCF(208,193) = HCF(401,208) = HCF(1010,401) = HCF(2421,1010) = HCF(3431,2421) = HCF(5852,3431) = HCF(9283,5852) .

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Frequently Asked Questions on HCF of 5852, 9283 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 5852, 9283?

Answer: HCF of 5852, 9283 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5852, 9283 using Euclid's Algorithm?

Answer: For arbitrary numbers 5852, 9283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.