Highest Common Factor of 5445, 8581 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 5445, 8581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5445, 8581 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 5445, 8581 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 5445, 8581 is 1.

HCF(5445, 8581) = 1

HCF of 5445, 8581 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 5445, 8581 is 1.

Highest Common Factor of 5445,8581 using Euclid's algorithm

Highest Common Factor of 5445,8581 is 1

Step 1: Since 8581 > 5445, we apply the division lemma to 8581 and 5445, to get

8581 = 5445 x 1 + 3136

Step 2: Since the reminder 5445 ≠ 0, we apply division lemma to 3136 and 5445, to get

5445 = 3136 x 1 + 2309

Step 3: We consider the new divisor 3136 and the new remainder 2309, and apply the division lemma to get

3136 = 2309 x 1 + 827

We consider the new divisor 2309 and the new remainder 827,and apply the division lemma to get

2309 = 827 x 2 + 655

We consider the new divisor 827 and the new remainder 655,and apply the division lemma to get

827 = 655 x 1 + 172

We consider the new divisor 655 and the new remainder 172,and apply the division lemma to get

655 = 172 x 3 + 139

We consider the new divisor 172 and the new remainder 139,and apply the division lemma to get

172 = 139 x 1 + 33

We consider the new divisor 139 and the new remainder 33,and apply the division lemma to get

139 = 33 x 4 + 7

We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get

33 = 7 x 4 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5445 and 8581 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(139,33) = HCF(172,139) = HCF(655,172) = HCF(827,655) = HCF(2309,827) = HCF(3136,2309) = HCF(5445,3136) = HCF(8581,5445) .

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Frequently Asked Questions on HCF of 5445, 8581 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 5445, 8581?

Answer: HCF of 5445, 8581 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5445, 8581 using Euclid's Algorithm?

Answer: For arbitrary numbers 5445, 8581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.