Highest Common Factor of 6649, 1784 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 6649, 1784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6649, 1784 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 6649, 1784 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 6649, 1784 is 1.

HCF(6649, 1784) = 1

HCF of 6649, 1784 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 6649, 1784 is 1.

Highest Common Factor of 6649,1784 using Euclid's algorithm

Highest Common Factor of 6649,1784 is 1

Step 1: Since 6649 > 1784, we apply the division lemma to 6649 and 1784, to get

6649 = 1784 x 3 + 1297

Step 2: Since the reminder 1784 ≠ 0, we apply division lemma to 1297 and 1784, to get

1784 = 1297 x 1 + 487

Step 3: We consider the new divisor 1297 and the new remainder 487, and apply the division lemma to get

1297 = 487 x 2 + 323

We consider the new divisor 487 and the new remainder 323,and apply the division lemma to get

487 = 323 x 1 + 164

We consider the new divisor 323 and the new remainder 164,and apply the division lemma to get

323 = 164 x 1 + 159

We consider the new divisor 164 and the new remainder 159,and apply the division lemma to get

164 = 159 x 1 + 5

We consider the new divisor 159 and the new remainder 5,and apply the division lemma to get

159 = 5 x 31 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6649 and 1784 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(159,5) = HCF(164,159) = HCF(323,164) = HCF(487,323) = HCF(1297,487) = HCF(1784,1297) = HCF(6649,1784) .

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Frequently Asked Questions on HCF of 6649, 1784 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 6649, 1784?

Answer: HCF of 6649, 1784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6649, 1784 using Euclid's Algorithm?

Answer: For arbitrary numbers 6649, 1784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.