Highest Common Factor of 7071, 5183 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 7071, 5183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7071, 5183 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 7071, 5183 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 7071, 5183 is 1.

HCF(7071, 5183) = 1

HCF of 7071, 5183 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 7071, 5183 is 1.

Highest Common Factor of 7071,5183 using Euclid's algorithm

Highest Common Factor of 7071,5183 is 1

Step 1: Since 7071 > 5183, we apply the division lemma to 7071 and 5183, to get

7071 = 5183 x 1 + 1888

Step 2: Since the reminder 5183 ≠ 0, we apply division lemma to 1888 and 5183, to get

5183 = 1888 x 2 + 1407

Step 3: We consider the new divisor 1888 and the new remainder 1407, and apply the division lemma to get

1888 = 1407 x 1 + 481

We consider the new divisor 1407 and the new remainder 481,and apply the division lemma to get

1407 = 481 x 2 + 445

We consider the new divisor 481 and the new remainder 445,and apply the division lemma to get

481 = 445 x 1 + 36

We consider the new divisor 445 and the new remainder 36,and apply the division lemma to get

445 = 36 x 12 + 13

We consider the new divisor 36 and the new remainder 13,and apply the division lemma to get

36 = 13 x 2 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 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 7071 and 5183 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(36,13) = HCF(445,36) = HCF(481,445) = HCF(1407,481) = HCF(1888,1407) = HCF(5183,1888) = HCF(7071,5183) .

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Frequently Asked Questions on HCF of 7071, 5183 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 7071, 5183?

Answer: HCF of 7071, 5183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7071, 5183 using Euclid's Algorithm?

Answer: For arbitrary numbers 7071, 5183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.