Highest Common Factor of 5551, 3910 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 5551, 3910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5551, 3910 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 5551, 3910 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 5551, 3910 is 1.

HCF(5551, 3910) = 1

HCF of 5551, 3910 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 5551, 3910 is 1.

Highest Common Factor of 5551,3910 using Euclid's algorithm

Highest Common Factor of 5551,3910 is 1

Step 1: Since 5551 > 3910, we apply the division lemma to 5551 and 3910, to get

5551 = 3910 x 1 + 1641

Step 2: Since the reminder 3910 ≠ 0, we apply division lemma to 1641 and 3910, to get

3910 = 1641 x 2 + 628

Step 3: We consider the new divisor 1641 and the new remainder 628, and apply the division lemma to get

1641 = 628 x 2 + 385

We consider the new divisor 628 and the new remainder 385,and apply the division lemma to get

628 = 385 x 1 + 243

We consider the new divisor 385 and the new remainder 243,and apply the division lemma to get

385 = 243 x 1 + 142

We consider the new divisor 243 and the new remainder 142,and apply the division lemma to get

243 = 142 x 1 + 101

We consider the new divisor 142 and the new remainder 101,and apply the division lemma to get

142 = 101 x 1 + 41

We consider the new divisor 101 and the new remainder 41,and apply the division lemma to get

101 = 41 x 2 + 19

We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get

41 = 19 x 2 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5551 and 3910 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(101,41) = HCF(142,101) = HCF(243,142) = HCF(385,243) = HCF(628,385) = HCF(1641,628) = HCF(3910,1641) = HCF(5551,3910) .

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Frequently Asked Questions on HCF of 5551, 3910 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 5551, 3910?

Answer: HCF of 5551, 3910 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5551, 3910 using Euclid's Algorithm?

Answer: For arbitrary numbers 5551, 3910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.