Highest Common Factor of 5265, 6808 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 5265, 6808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5265, 6808 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 5265, 6808 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 5265, 6808 is 1.

HCF(5265, 6808) = 1

HCF of 5265, 6808 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 5265, 6808 is 1.

Highest Common Factor of 5265,6808 using Euclid's algorithm

Highest Common Factor of 5265,6808 is 1

Step 1: Since 6808 > 5265, we apply the division lemma to 6808 and 5265, to get

6808 = 5265 x 1 + 1543

Step 2: Since the reminder 5265 ≠ 0, we apply division lemma to 1543 and 5265, to get

5265 = 1543 x 3 + 636

Step 3: We consider the new divisor 1543 and the new remainder 636, and apply the division lemma to get

1543 = 636 x 2 + 271

We consider the new divisor 636 and the new remainder 271,and apply the division lemma to get

636 = 271 x 2 + 94

We consider the new divisor 271 and the new remainder 94,and apply the division lemma to get

271 = 94 x 2 + 83

We consider the new divisor 94 and the new remainder 83,and apply the division lemma to get

94 = 83 x 1 + 11

We consider the new divisor 83 and the new remainder 11,and apply the division lemma to get

83 = 11 x 7 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 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 5265 and 6808 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(83,11) = HCF(94,83) = HCF(271,94) = HCF(636,271) = HCF(1543,636) = HCF(5265,1543) = HCF(6808,5265) .

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Frequently Asked Questions on HCF of 5265, 6808 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 5265, 6808?

Answer: HCF of 5265, 6808 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5265, 6808 using Euclid's Algorithm?

Answer: For arbitrary numbers 5265, 6808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.