Highest Common Factor of 4595, 2721 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 4595, 2721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4595, 2721 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 4595, 2721 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 4595, 2721 is 1.

HCF(4595, 2721) = 1

HCF of 4595, 2721 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 4595, 2721 is 1.

Highest Common Factor of 4595,2721 using Euclid's algorithm

Highest Common Factor of 4595,2721 is 1

Step 1: Since 4595 > 2721, we apply the division lemma to 4595 and 2721, to get

4595 = 2721 x 1 + 1874

Step 2: Since the reminder 2721 ≠ 0, we apply division lemma to 1874 and 2721, to get

2721 = 1874 x 1 + 847

Step 3: We consider the new divisor 1874 and the new remainder 847, and apply the division lemma to get

1874 = 847 x 2 + 180

We consider the new divisor 847 and the new remainder 180,and apply the division lemma to get

847 = 180 x 4 + 127

We consider the new divisor 180 and the new remainder 127,and apply the division lemma to get

180 = 127 x 1 + 53

We consider the new divisor 127 and the new remainder 53,and apply the division lemma to get

127 = 53 x 2 + 21

We consider the new divisor 53 and the new remainder 21,and apply the division lemma to get

53 = 21 x 2 + 11

We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get

21 = 11 x 1 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4595 and 2721 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(53,21) = HCF(127,53) = HCF(180,127) = HCF(847,180) = HCF(1874,847) = HCF(2721,1874) = HCF(4595,2721) .

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Frequently Asked Questions on HCF of 4595, 2721 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 4595, 2721?

Answer: HCF of 4595, 2721 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4595, 2721 using Euclid's Algorithm?

Answer: For arbitrary numbers 4595, 2721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.