Highest Common Factor of 866, 96793 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 866, 96793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 866, 96793 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 866, 96793 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 866, 96793 is 1.

HCF(866, 96793) = 1

HCF of 866, 96793 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 866, 96793 is 1.

Highest Common Factor of 866,96793 using Euclid's algorithm

Highest Common Factor of 866,96793 is 1

Step 1: Since 96793 > 866, we apply the division lemma to 96793 and 866, to get

96793 = 866 x 111 + 667

Step 2: Since the reminder 866 ≠ 0, we apply division lemma to 667 and 866, to get

866 = 667 x 1 + 199

Step 3: We consider the new divisor 667 and the new remainder 199, and apply the division lemma to get

667 = 199 x 3 + 70

We consider the new divisor 199 and the new remainder 70,and apply the division lemma to get

199 = 70 x 2 + 59

We consider the new divisor 70 and the new remainder 59,and apply the division lemma to get

70 = 59 x 1 + 11

We consider the new divisor 59 and the new remainder 11,and apply the division lemma to get

59 = 11 x 5 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 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 866 and 96793 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(59,11) = HCF(70,59) = HCF(199,70) = HCF(667,199) = HCF(866,667) = HCF(96793,866) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 866, 96793 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 866, 96793?

Answer: HCF of 866, 96793 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 866, 96793 using Euclid's Algorithm?

Answer: For arbitrary numbers 866, 96793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.