Highest Common Factor of 810, 247 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 810, 247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 810, 247 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 810, 247 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 810, 247 is 1.

HCF(810, 247) = 1

HCF of 810, 247 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 810, 247 is 1.

Highest Common Factor of 810,247 using Euclid's algorithm

Highest Common Factor of 810,247 is 1

Step 1: Since 810 > 247, we apply the division lemma to 810 and 247, to get

810 = 247 x 3 + 69

Step 2: Since the reminder 247 ≠ 0, we apply division lemma to 69 and 247, to get

247 = 69 x 3 + 40

Step 3: We consider the new divisor 69 and the new remainder 40, and apply the division lemma to get

69 = 40 x 1 + 29

We consider the new divisor 40 and the new remainder 29,and apply the division lemma to get

40 = 29 x 1 + 11

We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get

29 = 11 x 2 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 810 and 247 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(40,29) = HCF(69,40) = HCF(247,69) = HCF(810,247) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 810, 247 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 810, 247?

Answer: HCF of 810, 247 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 810, 247 using Euclid's Algorithm?

Answer: For arbitrary numbers 810, 247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.