Highest Common Factor of 8026, 5575 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 8026, 5575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8026, 5575 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 8026, 5575 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 8026, 5575 is 1.

HCF(8026, 5575) = 1

HCF of 8026, 5575 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 8026, 5575 is 1.

Highest Common Factor of 8026,5575 using Euclid's algorithm

Highest Common Factor of 8026,5575 is 1

Step 1: Since 8026 > 5575, we apply the division lemma to 8026 and 5575, to get

8026 = 5575 x 1 + 2451

Step 2: Since the reminder 5575 ≠ 0, we apply division lemma to 2451 and 5575, to get

5575 = 2451 x 2 + 673

Step 3: We consider the new divisor 2451 and the new remainder 673, and apply the division lemma to get

2451 = 673 x 3 + 432

We consider the new divisor 673 and the new remainder 432,and apply the division lemma to get

673 = 432 x 1 + 241

We consider the new divisor 432 and the new remainder 241,and apply the division lemma to get

432 = 241 x 1 + 191

We consider the new divisor 241 and the new remainder 191,and apply the division lemma to get

241 = 191 x 1 + 50

We consider the new divisor 191 and the new remainder 50,and apply the division lemma to get

191 = 50 x 3 + 41

We consider the new divisor 50 and the new remainder 41,and apply the division lemma to get

50 = 41 x 1 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 8026 and 5575 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(50,41) = HCF(191,50) = HCF(241,191) = HCF(432,241) = HCF(673,432) = HCF(2451,673) = HCF(5575,2451) = HCF(8026,5575) .

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Frequently Asked Questions on HCF of 8026, 5575 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 8026, 5575?

Answer: HCF of 8026, 5575 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8026, 5575 using Euclid's Algorithm?

Answer: For arbitrary numbers 8026, 5575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.