Highest Common Factor of 4649, 6842, 11383 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 4649, 6842, 11383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4649, 6842, 11383 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 4649, 6842, 11383 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 4649, 6842, 11383 is 1.

HCF(4649, 6842, 11383) = 1

HCF of 4649, 6842, 11383 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 4649, 6842, 11383 is 1.

Highest Common Factor of 4649,6842,11383 using Euclid's algorithm

Highest Common Factor of 4649,6842,11383 is 1

Step 1: Since 6842 > 4649, we apply the division lemma to 6842 and 4649, to get

6842 = 4649 x 1 + 2193

Step 2: Since the reminder 4649 ≠ 0, we apply division lemma to 2193 and 4649, to get

4649 = 2193 x 2 + 263

Step 3: We consider the new divisor 2193 and the new remainder 263, and apply the division lemma to get

2193 = 263 x 8 + 89

We consider the new divisor 263 and the new remainder 89,and apply the division lemma to get

263 = 89 x 2 + 85

We consider the new divisor 89 and the new remainder 85,and apply the division lemma to get

89 = 85 x 1 + 4

We consider the new divisor 85 and the new remainder 4,and apply the division lemma to get

85 = 4 x 21 + 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 4649 and 6842 is 1

Notice that 1 = HCF(4,1) = HCF(85,4) = HCF(89,85) = HCF(263,89) = HCF(2193,263) = HCF(4649,2193) = HCF(6842,4649) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 11383 > 1, we apply the division lemma to 11383 and 1, to get

11383 = 1 x 11383 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11383 is 1

Notice that 1 = HCF(11383,1) .

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Frequently Asked Questions on HCF of 4649, 6842, 11383 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 4649, 6842, 11383?

Answer: HCF of 4649, 6842, 11383 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4649, 6842, 11383 using Euclid's Algorithm?

Answer: For arbitrary numbers 4649, 6842, 11383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.