Highest Common Factor of 4508, 7191 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 4508, 7191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4508, 7191 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 4508, 7191 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 4508, 7191 is 1.

HCF(4508, 7191) = 1

HCF of 4508, 7191 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 4508, 7191 is 1.

Highest Common Factor of 4508,7191 using Euclid's algorithm

Highest Common Factor of 4508,7191 is 1

Step 1: Since 7191 > 4508, we apply the division lemma to 7191 and 4508, to get

7191 = 4508 x 1 + 2683

Step 2: Since the reminder 4508 ≠ 0, we apply division lemma to 2683 and 4508, to get

4508 = 2683 x 1 + 1825

Step 3: We consider the new divisor 2683 and the new remainder 1825, and apply the division lemma to get

2683 = 1825 x 1 + 858

We consider the new divisor 1825 and the new remainder 858,and apply the division lemma to get

1825 = 858 x 2 + 109

We consider the new divisor 858 and the new remainder 109,and apply the division lemma to get

858 = 109 x 7 + 95

We consider the new divisor 109 and the new remainder 95,and apply the division lemma to get

109 = 95 x 1 + 14

We consider the new divisor 95 and the new remainder 14,and apply the division lemma to get

95 = 14 x 6 + 11

We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get

14 = 11 x 1 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 4508 and 7191 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(95,14) = HCF(109,95) = HCF(858,109) = HCF(1825,858) = HCF(2683,1825) = HCF(4508,2683) = HCF(7191,4508) .

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Frequently Asked Questions on HCF of 4508, 7191 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 4508, 7191?

Answer: HCF of 4508, 7191 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4508, 7191 using Euclid's Algorithm?

Answer: For arbitrary numbers 4508, 7191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.