Highest Common Factor of 4573, 8044 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 4573, 8044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4573, 8044 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 4573, 8044 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 4573, 8044 is 1.

HCF(4573, 8044) = 1

HCF of 4573, 8044 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 4573, 8044 is 1.

Highest Common Factor of 4573,8044 using Euclid's algorithm

Highest Common Factor of 4573,8044 is 1

Step 1: Since 8044 > 4573, we apply the division lemma to 8044 and 4573, to get

8044 = 4573 x 1 + 3471

Step 2: Since the reminder 4573 ≠ 0, we apply division lemma to 3471 and 4573, to get

4573 = 3471 x 1 + 1102

Step 3: We consider the new divisor 3471 and the new remainder 1102, and apply the division lemma to get

3471 = 1102 x 3 + 165

We consider the new divisor 1102 and the new remainder 165,and apply the division lemma to get

1102 = 165 x 6 + 112

We consider the new divisor 165 and the new remainder 112,and apply the division lemma to get

165 = 112 x 1 + 53

We consider the new divisor 112 and the new remainder 53,and apply the division lemma to get

112 = 53 x 2 + 6

We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get

53 = 6 x 8 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4573 and 8044 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(112,53) = HCF(165,112) = HCF(1102,165) = HCF(3471,1102) = HCF(4573,3471) = HCF(8044,4573) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4573, 8044 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 4573, 8044?

Answer: HCF of 4573, 8044 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4573, 8044 using Euclid's Algorithm?

Answer: For arbitrary numbers 4573, 8044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.