Highest Common Factor of 5959, 7066 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 5959, 7066 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5959, 7066 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 5959, 7066 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 5959, 7066 is 1.

HCF(5959, 7066) = 1

HCF of 5959, 7066 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 5959, 7066 is 1.

Highest Common Factor of 5959,7066 using Euclid's algorithm

Highest Common Factor of 5959,7066 is 1

Step 1: Since 7066 > 5959, we apply the division lemma to 7066 and 5959, to get

7066 = 5959 x 1 + 1107

Step 2: Since the reminder 5959 ≠ 0, we apply division lemma to 1107 and 5959, to get

5959 = 1107 x 5 + 424

Step 3: We consider the new divisor 1107 and the new remainder 424, and apply the division lemma to get

1107 = 424 x 2 + 259

We consider the new divisor 424 and the new remainder 259,and apply the division lemma to get

424 = 259 x 1 + 165

We consider the new divisor 259 and the new remainder 165,and apply the division lemma to get

259 = 165 x 1 + 94

We consider the new divisor 165 and the new remainder 94,and apply the division lemma to get

165 = 94 x 1 + 71

We consider the new divisor 94 and the new remainder 71,and apply the division lemma to get

94 = 71 x 1 + 23

We consider the new divisor 71 and the new remainder 23,and apply the division lemma to get

71 = 23 x 3 + 2

We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get

23 = 2 x 11 + 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 5959 and 7066 is 1

Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(71,23) = HCF(94,71) = HCF(165,94) = HCF(259,165) = HCF(424,259) = HCF(1107,424) = HCF(5959,1107) = HCF(7066,5959) .

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Frequently Asked Questions on HCF of 5959, 7066 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 5959, 7066?

Answer: HCF of 5959, 7066 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5959, 7066 using Euclid's Algorithm?

Answer: For arbitrary numbers 5959, 7066 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.