Highest Common Factor of 2995, 4713 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 2995, 4713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2995, 4713 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 2995, 4713 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 2995, 4713 is 1.

HCF(2995, 4713) = 1

HCF of 2995, 4713 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 2995, 4713 is 1.

Highest Common Factor of 2995,4713 using Euclid's algorithm

Highest Common Factor of 2995,4713 is 1

Step 1: Since 4713 > 2995, we apply the division lemma to 4713 and 2995, to get

4713 = 2995 x 1 + 1718

Step 2: Since the reminder 2995 ≠ 0, we apply division lemma to 1718 and 2995, to get

2995 = 1718 x 1 + 1277

Step 3: We consider the new divisor 1718 and the new remainder 1277, and apply the division lemma to get

1718 = 1277 x 1 + 441

We consider the new divisor 1277 and the new remainder 441,and apply the division lemma to get

1277 = 441 x 2 + 395

We consider the new divisor 441 and the new remainder 395,and apply the division lemma to get

441 = 395 x 1 + 46

We consider the new divisor 395 and the new remainder 46,and apply the division lemma to get

395 = 46 x 8 + 27

We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get

46 = 27 x 1 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 2995 and 4713 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(395,46) = HCF(441,395) = HCF(1277,441) = HCF(1718,1277) = HCF(2995,1718) = HCF(4713,2995) .

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Frequently Asked Questions on HCF of 2995, 4713 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 2995, 4713?

Answer: HCF of 2995, 4713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2995, 4713 using Euclid's Algorithm?

Answer: For arbitrary numbers 2995, 4713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.