Highest Common Factor of 3923, 5644 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 3923, 5644 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3923, 5644 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 3923, 5644 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 3923, 5644 is 1.

HCF(3923, 5644) = 1

HCF of 3923, 5644 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 3923, 5644 is 1.

Highest Common Factor of 3923,5644 using Euclid's algorithm

Highest Common Factor of 3923,5644 is 1

Step 1: Since 5644 > 3923, we apply the division lemma to 5644 and 3923, to get

5644 = 3923 x 1 + 1721

Step 2: Since the reminder 3923 ≠ 0, we apply division lemma to 1721 and 3923, to get

3923 = 1721 x 2 + 481

Step 3: We consider the new divisor 1721 and the new remainder 481, and apply the division lemma to get

1721 = 481 x 3 + 278

We consider the new divisor 481 and the new remainder 278,and apply the division lemma to get

481 = 278 x 1 + 203

We consider the new divisor 278 and the new remainder 203,and apply the division lemma to get

278 = 203 x 1 + 75

We consider the new divisor 203 and the new remainder 75,and apply the division lemma to get

203 = 75 x 2 + 53

We consider the new divisor 75 and the new remainder 53,and apply the division lemma to get

75 = 53 x 1 + 22

We consider the new divisor 53 and the new remainder 22,and apply the division lemma to get

53 = 22 x 2 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 3923 and 5644 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(53,22) = HCF(75,53) = HCF(203,75) = HCF(278,203) = HCF(481,278) = HCF(1721,481) = HCF(3923,1721) = HCF(5644,3923) .

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Frequently Asked Questions on HCF of 3923, 5644 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 3923, 5644?

Answer: HCF of 3923, 5644 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3923, 5644 using Euclid's Algorithm?

Answer: For arbitrary numbers 3923, 5644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.