Highest Common Factor of 7191, 4883 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 7191, 4883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7191, 4883 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 7191, 4883 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 7191, 4883 is 1.

HCF(7191, 4883) = 1

HCF of 7191, 4883 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 7191, 4883 is 1.

Highest Common Factor of 7191,4883 using Euclid's algorithm

Highest Common Factor of 7191,4883 is 1

Step 1: Since 7191 > 4883, we apply the division lemma to 7191 and 4883, to get

7191 = 4883 x 1 + 2308

Step 2: Since the reminder 4883 ≠ 0, we apply division lemma to 2308 and 4883, to get

4883 = 2308 x 2 + 267

Step 3: We consider the new divisor 2308 and the new remainder 267, and apply the division lemma to get

2308 = 267 x 8 + 172

We consider the new divisor 267 and the new remainder 172,and apply the division lemma to get

267 = 172 x 1 + 95

We consider the new divisor 172 and the new remainder 95,and apply the division lemma to get

172 = 95 x 1 + 77

We consider the new divisor 95 and the new remainder 77,and apply the division lemma to get

95 = 77 x 1 + 18

We consider the new divisor 77 and the new remainder 18,and apply the division lemma to get

77 = 18 x 4 + 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 7191 and 4883 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(77,18) = HCF(95,77) = HCF(172,95) = HCF(267,172) = HCF(2308,267) = HCF(4883,2308) = HCF(7191,4883) .

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Frequently Asked Questions on HCF of 7191, 4883 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 7191, 4883?

Answer: HCF of 7191, 4883 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7191, 4883 using Euclid's Algorithm?

Answer: For arbitrary numbers 7191, 4883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.