Highest Common Factor of 8143, 7217, 47333 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 8143, 7217, 47333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8143, 7217, 47333 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 8143, 7217, 47333 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 8143, 7217, 47333 is 1.

HCF(8143, 7217, 47333) = 1

HCF of 8143, 7217, 47333 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 8143, 7217, 47333 is 1.

Highest Common Factor of 8143,7217,47333 using Euclid's algorithm

Highest Common Factor of 8143,7217,47333 is 1

Step 1: Since 8143 > 7217, we apply the division lemma to 8143 and 7217, to get

8143 = 7217 x 1 + 926

Step 2: Since the reminder 7217 ≠ 0, we apply division lemma to 926 and 7217, to get

7217 = 926 x 7 + 735

Step 3: We consider the new divisor 926 and the new remainder 735, and apply the division lemma to get

926 = 735 x 1 + 191

We consider the new divisor 735 and the new remainder 191,and apply the division lemma to get

735 = 191 x 3 + 162

We consider the new divisor 191 and the new remainder 162,and apply the division lemma to get

191 = 162 x 1 + 29

We consider the new divisor 162 and the new remainder 29,and apply the division lemma to get

162 = 29 x 5 + 17

We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get

29 = 17 x 1 + 12

We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get

17 = 12 x 1 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 8143 and 7217 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(162,29) = HCF(191,162) = HCF(735,191) = HCF(926,735) = HCF(7217,926) = HCF(8143,7217) .

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

Step 1: Since 47333 > 1, we apply the division lemma to 47333 and 1, to get

47333 = 1 x 47333 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 47333 is 1

Notice that 1 = HCF(47333,1) .

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Frequently Asked Questions on HCF of 8143, 7217, 47333 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 8143, 7217, 47333?

Answer: HCF of 8143, 7217, 47333 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8143, 7217, 47333 using Euclid's Algorithm?

Answer: For arbitrary numbers 8143, 7217, 47333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.