Highest Common Factor of 5441, 4483 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 5441, 4483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5441, 4483 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 5441, 4483 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 5441, 4483 is 1.

HCF(5441, 4483) = 1

HCF of 5441, 4483 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 5441, 4483 is 1.

Highest Common Factor of 5441,4483 using Euclid's algorithm

Highest Common Factor of 5441,4483 is 1

Step 1: Since 5441 > 4483, we apply the division lemma to 5441 and 4483, to get

5441 = 4483 x 1 + 958

Step 2: Since the reminder 4483 ≠ 0, we apply division lemma to 958 and 4483, to get

4483 = 958 x 4 + 651

Step 3: We consider the new divisor 958 and the new remainder 651, and apply the division lemma to get

958 = 651 x 1 + 307

We consider the new divisor 651 and the new remainder 307,and apply the division lemma to get

651 = 307 x 2 + 37

We consider the new divisor 307 and the new remainder 37,and apply the division lemma to get

307 = 37 x 8 + 11

We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get

37 = 11 x 3 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5441 and 4483 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(307,37) = HCF(651,307) = HCF(958,651) = HCF(4483,958) = HCF(5441,4483) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 5441, 4483 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 5441, 4483?

Answer: HCF of 5441, 4483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5441, 4483 using Euclid's Algorithm?

Answer: For arbitrary numbers 5441, 4483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.