Highest Common Factor of 6805, 5273 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 6805, 5273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6805, 5273 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 6805, 5273 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 6805, 5273 is 1.

HCF(6805, 5273) = 1

HCF of 6805, 5273 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 6805, 5273 is 1.

Highest Common Factor of 6805,5273 using Euclid's algorithm

Highest Common Factor of 6805,5273 is 1

Step 1: Since 6805 > 5273, we apply the division lemma to 6805 and 5273, to get

6805 = 5273 x 1 + 1532

Step 2: Since the reminder 5273 ≠ 0, we apply division lemma to 1532 and 5273, to get

5273 = 1532 x 3 + 677

Step 3: We consider the new divisor 1532 and the new remainder 677, and apply the division lemma to get

1532 = 677 x 2 + 178

We consider the new divisor 677 and the new remainder 178,and apply the division lemma to get

677 = 178 x 3 + 143

We consider the new divisor 178 and the new remainder 143,and apply the division lemma to get

178 = 143 x 1 + 35

We consider the new divisor 143 and the new remainder 35,and apply the division lemma to get

143 = 35 x 4 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6805 and 5273 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(143,35) = HCF(178,143) = HCF(677,178) = HCF(1532,677) = HCF(5273,1532) = HCF(6805,5273) .

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Frequently Asked Questions on HCF of 6805, 5273 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 6805, 5273?

Answer: HCF of 6805, 5273 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6805, 5273 using Euclid's Algorithm?

Answer: For arbitrary numbers 6805, 5273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.