Highest Common Factor of 809, 992, 53 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 809, 992, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 809, 992, 53 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 809, 992, 53 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 809, 992, 53 is 1.

HCF(809, 992, 53) = 1

HCF of 809, 992, 53 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 809, 992, 53 is 1.

Highest Common Factor of 809,992,53 using Euclid's algorithm

Highest Common Factor of 809,992,53 is 1

Step 1: Since 992 > 809, we apply the division lemma to 992 and 809, to get

992 = 809 x 1 + 183

Step 2: Since the reminder 809 ≠ 0, we apply division lemma to 183 and 809, to get

809 = 183 x 4 + 77

Step 3: We consider the new divisor 183 and the new remainder 77, and apply the division lemma to get

183 = 77 x 2 + 29

We consider the new divisor 77 and the new remainder 29,and apply the division lemma to get

77 = 29 x 2 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 809 and 992 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(77,29) = HCF(183,77) = HCF(809,183) = HCF(992,809) .

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

Step 1: Since 53 > 1, we apply the division lemma to 53 and 1, to get

53 = 1 x 53 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53 is 1

Notice that 1 = HCF(53,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 809, 992, 53 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 809, 992, 53?

Answer: HCF of 809, 992, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 809, 992, 53 using Euclid's Algorithm?

Answer: For arbitrary numbers 809, 992, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.