Highest Common Factor of 2863, 3501, 84421 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 2863, 3501, 84421 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2863, 3501, 84421 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 2863, 3501, 84421 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 2863, 3501, 84421 is 1.

HCF(2863, 3501, 84421) = 1

HCF of 2863, 3501, 84421 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 2863, 3501, 84421 is 1.

Highest Common Factor of 2863,3501,84421 using Euclid's algorithm

Highest Common Factor of 2863,3501,84421 is 1

Step 1: Since 3501 > 2863, we apply the division lemma to 3501 and 2863, to get

3501 = 2863 x 1 + 638

Step 2: Since the reminder 2863 ≠ 0, we apply division lemma to 638 and 2863, to get

2863 = 638 x 4 + 311

Step 3: We consider the new divisor 638 and the new remainder 311, and apply the division lemma to get

638 = 311 x 2 + 16

We consider the new divisor 311 and the new remainder 16,and apply the division lemma to get

311 = 16 x 19 + 7

We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get

16 = 7 x 2 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 2863 and 3501 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(311,16) = HCF(638,311) = HCF(2863,638) = HCF(3501,2863) .

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

Step 1: Since 84421 > 1, we apply the division lemma to 84421 and 1, to get

84421 = 1 x 84421 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84421 is 1

Notice that 1 = HCF(84421,1) .

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Frequently Asked Questions on HCF of 2863, 3501, 84421 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 2863, 3501, 84421?

Answer: HCF of 2863, 3501, 84421 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2863, 3501, 84421 using Euclid's Algorithm?

Answer: For arbitrary numbers 2863, 3501, 84421 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.