Highest Common Factor of 6772, 2483 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 6772, 2483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6772, 2483 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 6772, 2483 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 6772, 2483 is 1.

HCF(6772, 2483) = 1

HCF of 6772, 2483 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 6772, 2483 is 1.

Highest Common Factor of 6772,2483 using Euclid's algorithm

Highest Common Factor of 6772,2483 is 1

Step 1: Since 6772 > 2483, we apply the division lemma to 6772 and 2483, to get

6772 = 2483 x 2 + 1806

Step 2: Since the reminder 2483 ≠ 0, we apply division lemma to 1806 and 2483, to get

2483 = 1806 x 1 + 677

Step 3: We consider the new divisor 1806 and the new remainder 677, and apply the division lemma to get

1806 = 677 x 2 + 452

We consider the new divisor 677 and the new remainder 452,and apply the division lemma to get

677 = 452 x 1 + 225

We consider the new divisor 452 and the new remainder 225,and apply the division lemma to get

452 = 225 x 2 + 2

We consider the new divisor 225 and the new remainder 2,and apply the division lemma to get

225 = 2 x 112 + 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 6772 and 2483 is 1

Notice that 1 = HCF(2,1) = HCF(225,2) = HCF(452,225) = HCF(677,452) = HCF(1806,677) = HCF(2483,1806) = HCF(6772,2483) .

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Frequently Asked Questions on HCF of 6772, 2483 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 6772, 2483?

Answer: HCF of 6772, 2483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6772, 2483 using Euclid's Algorithm?

Answer: For arbitrary numbers 6772, 2483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.