Highest Common Factor of 6271, 2199, 64844 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 6271, 2199, 64844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6271, 2199, 64844 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 6271, 2199, 64844 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 6271, 2199, 64844 is 1.

HCF(6271, 2199, 64844) = 1

HCF of 6271, 2199, 64844 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 6271, 2199, 64844 is 1.

Highest Common Factor of 6271,2199,64844 using Euclid's algorithm

Highest Common Factor of 6271,2199,64844 is 1

Step 1: Since 6271 > 2199, we apply the division lemma to 6271 and 2199, to get

6271 = 2199 x 2 + 1873

Step 2: Since the reminder 2199 ≠ 0, we apply division lemma to 1873 and 2199, to get

2199 = 1873 x 1 + 326

Step 3: We consider the new divisor 1873 and the new remainder 326, and apply the division lemma to get

1873 = 326 x 5 + 243

We consider the new divisor 326 and the new remainder 243,and apply the division lemma to get

326 = 243 x 1 + 83

We consider the new divisor 243 and the new remainder 83,and apply the division lemma to get

243 = 83 x 2 + 77

We consider the new divisor 83 and the new remainder 77,and apply the division lemma to get

83 = 77 x 1 + 6

We consider the new divisor 77 and the new remainder 6,and apply the division lemma to get

77 = 6 x 12 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6271 and 2199 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(77,6) = HCF(83,77) = HCF(243,83) = HCF(326,243) = HCF(1873,326) = HCF(2199,1873) = HCF(6271,2199) .

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

Step 1: Since 64844 > 1, we apply the division lemma to 64844 and 1, to get

64844 = 1 x 64844 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64844 is 1

Notice that 1 = HCF(64844,1) .

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Frequently Asked Questions on HCF of 6271, 2199, 64844 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 6271, 2199, 64844?

Answer: HCF of 6271, 2199, 64844 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6271, 2199, 64844 using Euclid's Algorithm?

Answer: For arbitrary numbers 6271, 2199, 64844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.