Highest Common Factor of 6556, 4649 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 6556, 4649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6556, 4649 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 6556, 4649 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 6556, 4649 is 1.

HCF(6556, 4649) = 1

HCF of 6556, 4649 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 6556, 4649 is 1.

Highest Common Factor of 6556,4649 using Euclid's algorithm

Highest Common Factor of 6556,4649 is 1

Step 1: Since 6556 > 4649, we apply the division lemma to 6556 and 4649, to get

6556 = 4649 x 1 + 1907

Step 2: Since the reminder 4649 ≠ 0, we apply division lemma to 1907 and 4649, to get

4649 = 1907 x 2 + 835

Step 3: We consider the new divisor 1907 and the new remainder 835, and apply the division lemma to get

1907 = 835 x 2 + 237

We consider the new divisor 835 and the new remainder 237,and apply the division lemma to get

835 = 237 x 3 + 124

We consider the new divisor 237 and the new remainder 124,and apply the division lemma to get

237 = 124 x 1 + 113

We consider the new divisor 124 and the new remainder 113,and apply the division lemma to get

124 = 113 x 1 + 11

We consider the new divisor 113 and the new remainder 11,and apply the division lemma to get

113 = 11 x 10 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 6556 and 4649 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(113,11) = HCF(124,113) = HCF(237,124) = HCF(835,237) = HCF(1907,835) = HCF(4649,1907) = HCF(6556,4649) .

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Frequently Asked Questions on HCF of 6556, 4649 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 6556, 4649?

Answer: HCF of 6556, 4649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6556, 4649 using Euclid's Algorithm?

Answer: For arbitrary numbers 6556, 4649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.