Highest Common Factor of 1721, 3956 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 1721, 3956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1721, 3956 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 1721, 3956 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 1721, 3956 is 1.

HCF(1721, 3956) = 1

HCF of 1721, 3956 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 1721, 3956 is 1.

Highest Common Factor of 1721,3956 using Euclid's algorithm

Highest Common Factor of 1721,3956 is 1

Step 1: Since 3956 > 1721, we apply the division lemma to 3956 and 1721, to get

3956 = 1721 x 2 + 514

Step 2: Since the reminder 1721 ≠ 0, we apply division lemma to 514 and 1721, to get

1721 = 514 x 3 + 179

Step 3: We consider the new divisor 514 and the new remainder 179, and apply the division lemma to get

514 = 179 x 2 + 156

We consider the new divisor 179 and the new remainder 156,and apply the division lemma to get

179 = 156 x 1 + 23

We consider the new divisor 156 and the new remainder 23,and apply the division lemma to get

156 = 23 x 6 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 1721 and 3956 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(156,23) = HCF(179,156) = HCF(514,179) = HCF(1721,514) = HCF(3956,1721) .

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Frequently Asked Questions on HCF of 1721, 3956 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 1721, 3956?

Answer: HCF of 1721, 3956 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1721, 3956 using Euclid's Algorithm?

Answer: For arbitrary numbers 1721, 3956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.