Highest Common Factor of 4891, 8134 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 4891, 8134 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4891, 8134 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 4891, 8134 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 4891, 8134 is 1.

HCF(4891, 8134) = 1

HCF of 4891, 8134 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 4891, 8134 is 1.

Highest Common Factor of 4891,8134 using Euclid's algorithm

Highest Common Factor of 4891,8134 is 1

Step 1: Since 8134 > 4891, we apply the division lemma to 8134 and 4891, to get

8134 = 4891 x 1 + 3243

Step 2: Since the reminder 4891 ≠ 0, we apply division lemma to 3243 and 4891, to get

4891 = 3243 x 1 + 1648

Step 3: We consider the new divisor 3243 and the new remainder 1648, and apply the division lemma to get

3243 = 1648 x 1 + 1595

We consider the new divisor 1648 and the new remainder 1595,and apply the division lemma to get

1648 = 1595 x 1 + 53

We consider the new divisor 1595 and the new remainder 53,and apply the division lemma to get

1595 = 53 x 30 + 5

We consider the new divisor 53 and the new remainder 5,and apply the division lemma to get

53 = 5 x 10 + 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 4891 and 8134 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(53,5) = HCF(1595,53) = HCF(1648,1595) = HCF(3243,1648) = HCF(4891,3243) = HCF(8134,4891) .

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Frequently Asked Questions on HCF of 4891, 8134 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 4891, 8134?

Answer: HCF of 4891, 8134 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4891, 8134 using Euclid's Algorithm?

Answer: For arbitrary numbers 4891, 8134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.