Highest Common Factor of 833, 8838, 7317 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 833, 8838, 7317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 833, 8838, 7317 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 833, 8838, 7317 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 833, 8838, 7317 is 1.

HCF(833, 8838, 7317) = 1

HCF of 833, 8838, 7317 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 833, 8838, 7317 is 1.

Highest Common Factor of 833,8838,7317 using Euclid's algorithm

Highest Common Factor of 833,8838,7317 is 1

Step 1: Since 8838 > 833, we apply the division lemma to 8838 and 833, to get

8838 = 833 x 10 + 508

Step 2: Since the reminder 833 ≠ 0, we apply division lemma to 508 and 833, to get

833 = 508 x 1 + 325

Step 3: We consider the new divisor 508 and the new remainder 325, and apply the division lemma to get

508 = 325 x 1 + 183

We consider the new divisor 325 and the new remainder 183,and apply the division lemma to get

325 = 183 x 1 + 142

We consider the new divisor 183 and the new remainder 142,and apply the division lemma to get

183 = 142 x 1 + 41

We consider the new divisor 142 and the new remainder 41,and apply the division lemma to get

142 = 41 x 3 + 19

We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get

41 = 19 x 2 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 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 833 and 8838 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(142,41) = HCF(183,142) = HCF(325,183) = HCF(508,325) = HCF(833,508) = HCF(8838,833) .

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

Step 1: Since 7317 > 1, we apply the division lemma to 7317 and 1, to get

7317 = 1 x 7317 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7317 is 1

Notice that 1 = HCF(7317,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 833, 8838, 7317 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 833, 8838, 7317?

Answer: HCF of 833, 8838, 7317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 833, 8838, 7317 using Euclid's Algorithm?

Answer: For arbitrary numbers 833, 8838, 7317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.