Highest Common Factor of 4712, 711 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 4712, 711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4712, 711 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 4712, 711 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 4712, 711 is 1.

HCF(4712, 711) = 1

HCF of 4712, 711 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 4712, 711 is 1.

Highest Common Factor of 4712,711 using Euclid's algorithm

Highest Common Factor of 4712,711 is 1

Step 1: Since 4712 > 711, we apply the division lemma to 4712 and 711, to get

4712 = 711 x 6 + 446

Step 2: Since the reminder 711 ≠ 0, we apply division lemma to 446 and 711, to get

711 = 446 x 1 + 265

Step 3: We consider the new divisor 446 and the new remainder 265, and apply the division lemma to get

446 = 265 x 1 + 181

We consider the new divisor 265 and the new remainder 181,and apply the division lemma to get

265 = 181 x 1 + 84

We consider the new divisor 181 and the new remainder 84,and apply the division lemma to get

181 = 84 x 2 + 13

We consider the new divisor 84 and the new remainder 13,and apply the division lemma to get

84 = 13 x 6 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4712 and 711 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(84,13) = HCF(181,84) = HCF(265,181) = HCF(446,265) = HCF(711,446) = HCF(4712,711) .

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Frequently Asked Questions on HCF of 4712, 711 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 4712, 711?

Answer: HCF of 4712, 711 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4712, 711 using Euclid's Algorithm?

Answer: For arbitrary numbers 4712, 711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.