Highest Common Factor of 4807, 6543 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 4807, 6543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4807, 6543 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 4807, 6543 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 4807, 6543 is 1.

HCF(4807, 6543) = 1

HCF of 4807, 6543 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4807, 6543 is 1.

Highest Common Factor of 4807,6543 using Euclid's algorithm

Highest Common Factor of 4807,6543 is 1

Step 1: Since 6543 > 4807, we apply the division lemma to 6543 and 4807, to get

6543 = 4807 x 1 + 1736

Step 2: Since the reminder 4807 ≠ 0, we apply division lemma to 1736 and 4807, to get

4807 = 1736 x 2 + 1335

Step 3: We consider the new divisor 1736 and the new remainder 1335, and apply the division lemma to get

1736 = 1335 x 1 + 401

We consider the new divisor 1335 and the new remainder 401,and apply the division lemma to get

1335 = 401 x 3 + 132

We consider the new divisor 401 and the new remainder 132,and apply the division lemma to get

401 = 132 x 3 + 5

We consider the new divisor 132 and the new remainder 5,and apply the division lemma to get

132 = 5 x 26 + 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 4807 and 6543 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(132,5) = HCF(401,132) = HCF(1335,401) = HCF(1736,1335) = HCF(4807,1736) = HCF(6543,4807) .

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Frequently Asked Questions on HCF of 4807, 6543 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 4807, 6543?

Answer: HCF of 4807, 6543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4807, 6543 using Euclid's Algorithm?

Answer: For arbitrary numbers 4807, 6543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.