Highest Common Factor of 511, 843 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 511, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 511, 843 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 511, 843 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 511, 843 is 1.

HCF(511, 843) = 1

HCF of 511, 843 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 511, 843 is 1.

Highest Common Factor of 511,843 using Euclid's algorithm

Highest Common Factor of 511,843 is 1

Step 1: Since 843 > 511, we apply the division lemma to 843 and 511, to get

843 = 511 x 1 + 332

Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 332 and 511, to get

511 = 332 x 1 + 179

Step 3: We consider the new divisor 332 and the new remainder 179, and apply the division lemma to get

332 = 179 x 1 + 153

We consider the new divisor 179 and the new remainder 153,and apply the division lemma to get

179 = 153 x 1 + 26

We consider the new divisor 153 and the new remainder 26,and apply the division lemma to get

153 = 26 x 5 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 511 and 843 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(153,26) = HCF(179,153) = HCF(332,179) = HCF(511,332) = HCF(843,511) .

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Frequently Asked Questions on HCF of 511, 843 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 511, 843?

Answer: HCF of 511, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 511, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 511, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.