Highest Common Factor of 471, 711, 607 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 471, 711, 607 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 471, 711, 607 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 471, 711, 607 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 471, 711, 607 is 1.

HCF(471, 711, 607) = 1

HCF of 471, 711, 607 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 471, 711, 607 is 1.

Highest Common Factor of 471,711,607 using Euclid's algorithm

Highest Common Factor of 471,711,607 is 1

Step 1: Since 711 > 471, we apply the division lemma to 711 and 471, to get

711 = 471 x 1 + 240

Step 2: Since the reminder 471 ≠ 0, we apply division lemma to 240 and 471, to get

471 = 240 x 1 + 231

Step 3: We consider the new divisor 240 and the new remainder 231, and apply the division lemma to get

240 = 231 x 1 + 9

We consider the new divisor 231 and the new remainder 9,and apply the division lemma to get

231 = 9 x 25 + 6

We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get

9 = 6 x 1 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 471 and 711 is 3

Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(231,9) = HCF(240,231) = HCF(471,240) = HCF(711,471) .

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

Step 1: Since 607 > 3, we apply the division lemma to 607 and 3, to get

607 = 3 x 202 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 607 is 1

Notice that 1 = HCF(3,1) = HCF(607,3) .

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Frequently Asked Questions on HCF of 471, 711, 607 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 471, 711, 607?

Answer: HCF of 471, 711, 607 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 471, 711, 607 using Euclid's Algorithm?

Answer: For arbitrary numbers 471, 711, 607 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.