Highest Common Factor of 3058, 4727, 61471 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 3058, 4727, 61471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3058, 4727, 61471 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 3058, 4727, 61471 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 3058, 4727, 61471 is 1.

HCF(3058, 4727, 61471) = 1

HCF of 3058, 4727, 61471 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 3058, 4727, 61471 is 1.

Highest Common Factor of 3058,4727,61471 using Euclid's algorithm

Highest Common Factor of 3058,4727,61471 is 1

Step 1: Since 4727 > 3058, we apply the division lemma to 4727 and 3058, to get

4727 = 3058 x 1 + 1669

Step 2: Since the reminder 3058 ≠ 0, we apply division lemma to 1669 and 3058, to get

3058 = 1669 x 1 + 1389

Step 3: We consider the new divisor 1669 and the new remainder 1389, and apply the division lemma to get

1669 = 1389 x 1 + 280

We consider the new divisor 1389 and the new remainder 280,and apply the division lemma to get

1389 = 280 x 4 + 269

We consider the new divisor 280 and the new remainder 269,and apply the division lemma to get

280 = 269 x 1 + 11

We consider the new divisor 269 and the new remainder 11,and apply the division lemma to get

269 = 11 x 24 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3058 and 4727 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(269,11) = HCF(280,269) = HCF(1389,280) = HCF(1669,1389) = HCF(3058,1669) = HCF(4727,3058) .

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

Step 1: Since 61471 > 1, we apply the division lemma to 61471 and 1, to get

61471 = 1 x 61471 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 61471 is 1

Notice that 1 = HCF(61471,1) .

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Frequently Asked Questions on HCF of 3058, 4727, 61471 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 3058, 4727, 61471?

Answer: HCF of 3058, 4727, 61471 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3058, 4727, 61471 using Euclid's Algorithm?

Answer: For arbitrary numbers 3058, 4727, 61471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.