Highest Common Factor of 3933, 5365 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 3933, 5365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3933, 5365 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 3933, 5365 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 3933, 5365 is 1.

HCF(3933, 5365) = 1

HCF of 3933, 5365 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 3933, 5365 is 1.

Highest Common Factor of 3933,5365 using Euclid's algorithm

Highest Common Factor of 3933,5365 is 1

Step 1: Since 5365 > 3933, we apply the division lemma to 5365 and 3933, to get

5365 = 3933 x 1 + 1432

Step 2: Since the reminder 3933 ≠ 0, we apply division lemma to 1432 and 3933, to get

3933 = 1432 x 2 + 1069

Step 3: We consider the new divisor 1432 and the new remainder 1069, and apply the division lemma to get

1432 = 1069 x 1 + 363

We consider the new divisor 1069 and the new remainder 363,and apply the division lemma to get

1069 = 363 x 2 + 343

We consider the new divisor 363 and the new remainder 343,and apply the division lemma to get

363 = 343 x 1 + 20

We consider the new divisor 343 and the new remainder 20,and apply the division lemma to get

343 = 20 x 17 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 3933 and 5365 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(343,20) = HCF(363,343) = HCF(1069,363) = HCF(1432,1069) = HCF(3933,1432) = HCF(5365,3933) .

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Frequently Asked Questions on HCF of 3933, 5365 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 3933, 5365?

Answer: HCF of 3933, 5365 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3933, 5365 using Euclid's Algorithm?

Answer: For arbitrary numbers 3933, 5365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.