Highest Common Factor of 6473, 8273 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 6473, 8273 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6473, 8273 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 6473, 8273 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 6473, 8273 is 1.

HCF(6473, 8273) = 1

HCF of 6473, 8273 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 6473, 8273 is 1.

Highest Common Factor of 6473,8273 using Euclid's algorithm

Highest Common Factor of 6473,8273 is 1

Step 1: Since 8273 > 6473, we apply the division lemma to 8273 and 6473, to get

8273 = 6473 x 1 + 1800

Step 2: Since the reminder 6473 ≠ 0, we apply division lemma to 1800 and 6473, to get

6473 = 1800 x 3 + 1073

Step 3: We consider the new divisor 1800 and the new remainder 1073, and apply the division lemma to get

1800 = 1073 x 1 + 727

We consider the new divisor 1073 and the new remainder 727,and apply the division lemma to get

1073 = 727 x 1 + 346

We consider the new divisor 727 and the new remainder 346,and apply the division lemma to get

727 = 346 x 2 + 35

We consider the new divisor 346 and the new remainder 35,and apply the division lemma to get

346 = 35 x 9 + 31

We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get

35 = 31 x 1 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6473 and 8273 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(346,35) = HCF(727,346) = HCF(1073,727) = HCF(1800,1073) = HCF(6473,1800) = HCF(8273,6473) .

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Frequently Asked Questions on HCF of 6473, 8273 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 6473, 8273?

Answer: HCF of 6473, 8273 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6473, 8273 using Euclid's Algorithm?

Answer: For arbitrary numbers 6473, 8273 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.