Highest Common Factor of 548, 834, 811 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 548, 834, 811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 548, 834, 811 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 548, 834, 811 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 548, 834, 811 is 1.

HCF(548, 834, 811) = 1

HCF of 548, 834, 811 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 548, 834, 811 is 1.

Highest Common Factor of 548,834,811 using Euclid's algorithm

Highest Common Factor of 548,834,811 is 1

Step 1: Since 834 > 548, we apply the division lemma to 834 and 548, to get

834 = 548 x 1 + 286

Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 286 and 548, to get

548 = 286 x 1 + 262

Step 3: We consider the new divisor 286 and the new remainder 262, and apply the division lemma to get

286 = 262 x 1 + 24

We consider the new divisor 262 and the new remainder 24,and apply the division lemma to get

262 = 24 x 10 + 22

We consider the new divisor 24 and the new remainder 22,and apply the division lemma to get

24 = 22 x 1 + 2

We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get

22 = 2 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 548 and 834 is 2

Notice that 2 = HCF(22,2) = HCF(24,22) = HCF(262,24) = HCF(286,262) = HCF(548,286) = HCF(834,548) .

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

Step 1: Since 811 > 2, we apply the division lemma to 811 and 2, to get

811 = 2 x 405 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 811 is 1

Notice that 1 = HCF(2,1) = HCF(811,2) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 548, 834, 811 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 548, 834, 811?

Answer: HCF of 548, 834, 811 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 548, 834, 811 using Euclid's Algorithm?

Answer: For arbitrary numbers 548, 834, 811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.