Highest Common Factor of 2549, 6643 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 2549, 6643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2549, 6643 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 2549, 6643 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 2549, 6643 is 1.

HCF(2549, 6643) = 1

HCF of 2549, 6643 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 2549, 6643 is 1.

Highest Common Factor of 2549,6643 using Euclid's algorithm

Highest Common Factor of 2549,6643 is 1

Step 1: Since 6643 > 2549, we apply the division lemma to 6643 and 2549, to get

6643 = 2549 x 2 + 1545

Step 2: Since the reminder 2549 ≠ 0, we apply division lemma to 1545 and 2549, to get

2549 = 1545 x 1 + 1004

Step 3: We consider the new divisor 1545 and the new remainder 1004, and apply the division lemma to get

1545 = 1004 x 1 + 541

We consider the new divisor 1004 and the new remainder 541,and apply the division lemma to get

1004 = 541 x 1 + 463

We consider the new divisor 541 and the new remainder 463,and apply the division lemma to get

541 = 463 x 1 + 78

We consider the new divisor 463 and the new remainder 78,and apply the division lemma to get

463 = 78 x 5 + 73

We consider the new divisor 78 and the new remainder 73,and apply the division lemma to get

78 = 73 x 1 + 5

We consider the new divisor 73 and the new remainder 5,and apply the division lemma to get

73 = 5 x 14 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 2549 and 6643 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(73,5) = HCF(78,73) = HCF(463,78) = HCF(541,463) = HCF(1004,541) = HCF(1545,1004) = HCF(2549,1545) = HCF(6643,2549) .

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Frequently Asked Questions on HCF of 2549, 6643 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 2549, 6643?

Answer: HCF of 2549, 6643 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2549, 6643 using Euclid's Algorithm?

Answer: For arbitrary numbers 2549, 6643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.