Highest Common Factor of 5933, 9293 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 5933, 9293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5933, 9293 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 5933, 9293 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 5933, 9293 is 1.

HCF(5933, 9293) = 1

HCF of 5933, 9293 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 5933, 9293 is 1.

Highest Common Factor of 5933,9293 using Euclid's algorithm

Highest Common Factor of 5933,9293 is 1

Step 1: Since 9293 > 5933, we apply the division lemma to 9293 and 5933, to get

9293 = 5933 x 1 + 3360

Step 2: Since the reminder 5933 ≠ 0, we apply division lemma to 3360 and 5933, to get

5933 = 3360 x 1 + 2573

Step 3: We consider the new divisor 3360 and the new remainder 2573, and apply the division lemma to get

3360 = 2573 x 1 + 787

We consider the new divisor 2573 and the new remainder 787,and apply the division lemma to get

2573 = 787 x 3 + 212

We consider the new divisor 787 and the new remainder 212,and apply the division lemma to get

787 = 212 x 3 + 151

We consider the new divisor 212 and the new remainder 151,and apply the division lemma to get

212 = 151 x 1 + 61

We consider the new divisor 151 and the new remainder 61,and apply the division lemma to get

151 = 61 x 2 + 29

We consider the new divisor 61 and the new remainder 29,and apply the division lemma to get

61 = 29 x 2 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 5933 and 9293 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(61,29) = HCF(151,61) = HCF(212,151) = HCF(787,212) = HCF(2573,787) = HCF(3360,2573) = HCF(5933,3360) = HCF(9293,5933) .

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Frequently Asked Questions on HCF of 5933, 9293 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 5933, 9293?

Answer: HCF of 5933, 9293 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5933, 9293 using Euclid's Algorithm?

Answer: For arbitrary numbers 5933, 9293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.