Highest Common Factor of 4874, 2195 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 4874, 2195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4874, 2195 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 4874, 2195 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 4874, 2195 is 1.

HCF(4874, 2195) = 1

HCF of 4874, 2195 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 4874, 2195 is 1.

Highest Common Factor of 4874,2195 using Euclid's algorithm

Highest Common Factor of 4874,2195 is 1

Step 1: Since 4874 > 2195, we apply the division lemma to 4874 and 2195, to get

4874 = 2195 x 2 + 484

Step 2: Since the reminder 2195 ≠ 0, we apply division lemma to 484 and 2195, to get

2195 = 484 x 4 + 259

Step 3: We consider the new divisor 484 and the new remainder 259, and apply the division lemma to get

484 = 259 x 1 + 225

We consider the new divisor 259 and the new remainder 225,and apply the division lemma to get

259 = 225 x 1 + 34

We consider the new divisor 225 and the new remainder 34,and apply the division lemma to get

225 = 34 x 6 + 21

We consider the new divisor 34 and the new remainder 21,and apply the division lemma to get

34 = 21 x 1 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 4874 and 2195 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(34,21) = HCF(225,34) = HCF(259,225) = HCF(484,259) = HCF(2195,484) = HCF(4874,2195) .

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Frequently Asked Questions on HCF of 4874, 2195 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 4874, 2195?

Answer: HCF of 4874, 2195 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4874, 2195 using Euclid's Algorithm?

Answer: For arbitrary numbers 4874, 2195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.