Highest Common Factor of 4571, 5963, 71734 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 4571, 5963, 71734 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4571, 5963, 71734 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 4571, 5963, 71734 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 4571, 5963, 71734 is 1.

HCF(4571, 5963, 71734) = 1

HCF of 4571, 5963, 71734 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 4571, 5963, 71734 is 1.

Highest Common Factor of 4571,5963,71734 using Euclid's algorithm

Highest Common Factor of 4571,5963,71734 is 1

Step 1: Since 5963 > 4571, we apply the division lemma to 5963 and 4571, to get

5963 = 4571 x 1 + 1392

Step 2: Since the reminder 4571 ≠ 0, we apply division lemma to 1392 and 4571, to get

4571 = 1392 x 3 + 395

Step 3: We consider the new divisor 1392 and the new remainder 395, and apply the division lemma to get

1392 = 395 x 3 + 207

We consider the new divisor 395 and the new remainder 207,and apply the division lemma to get

395 = 207 x 1 + 188

We consider the new divisor 207 and the new remainder 188,and apply the division lemma to get

207 = 188 x 1 + 19

We consider the new divisor 188 and the new remainder 19,and apply the division lemma to get

188 = 19 x 9 + 17

We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get

19 = 17 x 1 + 2

We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get

17 = 2 x 8 + 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 4571 and 5963 is 1

Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(188,19) = HCF(207,188) = HCF(395,207) = HCF(1392,395) = HCF(4571,1392) = HCF(5963,4571) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 71734 > 1, we apply the division lemma to 71734 and 1, to get

71734 = 1 x 71734 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 71734 is 1

Notice that 1 = HCF(71734,1) .

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Frequently Asked Questions on HCF of 4571, 5963, 71734 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 4571, 5963, 71734?

Answer: HCF of 4571, 5963, 71734 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4571, 5963, 71734 using Euclid's Algorithm?

Answer: For arbitrary numbers 4571, 5963, 71734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.