Highest Common Factor of 811, 423, 753 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 811, 423, 753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 811, 423, 753 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 811, 423, 753 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 811, 423, 753 is 1.

HCF(811, 423, 753) = 1

HCF of 811, 423, 753 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 811, 423, 753 is 1.

Highest Common Factor of 811,423,753 using Euclid's algorithm

Highest Common Factor of 811,423,753 is 1

Step 1: Since 811 > 423, we apply the division lemma to 811 and 423, to get

811 = 423 x 1 + 388

Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 388 and 423, to get

423 = 388 x 1 + 35

Step 3: We consider the new divisor 388 and the new remainder 35, and apply the division lemma to get

388 = 35 x 11 + 3

We consider the new divisor 35 and the new remainder 3,and apply the division lemma to get

35 = 3 x 11 + 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 811 and 423 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(35,3) = HCF(388,35) = HCF(423,388) = HCF(811,423) .

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

Step 1: Since 753 > 1, we apply the division lemma to 753 and 1, to get

753 = 1 x 753 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 753 is 1

Notice that 1 = HCF(753,1) .

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Frequently Asked Questions on HCF of 811, 423, 753 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 811, 423, 753?

Answer: HCF of 811, 423, 753 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 811, 423, 753 using Euclid's Algorithm?

Answer: For arbitrary numbers 811, 423, 753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.