Highest Common Factor of 8562, 5317 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 8562, 5317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8562, 5317 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 8562, 5317 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 8562, 5317 is 1.

HCF(8562, 5317) = 1

HCF of 8562, 5317 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 8562, 5317 is 1.

Highest Common Factor of 8562,5317 using Euclid's algorithm

Highest Common Factor of 8562,5317 is 1

Step 1: Since 8562 > 5317, we apply the division lemma to 8562 and 5317, to get

8562 = 5317 x 1 + 3245

Step 2: Since the reminder 5317 ≠ 0, we apply division lemma to 3245 and 5317, to get

5317 = 3245 x 1 + 2072

Step 3: We consider the new divisor 3245 and the new remainder 2072, and apply the division lemma to get

3245 = 2072 x 1 + 1173

We consider the new divisor 2072 and the new remainder 1173,and apply the division lemma to get

2072 = 1173 x 1 + 899

We consider the new divisor 1173 and the new remainder 899,and apply the division lemma to get

1173 = 899 x 1 + 274

We consider the new divisor 899 and the new remainder 274,and apply the division lemma to get

899 = 274 x 3 + 77

We consider the new divisor 274 and the new remainder 77,and apply the division lemma to get

274 = 77 x 3 + 43

We consider the new divisor 77 and the new remainder 43,and apply the division lemma to get

77 = 43 x 1 + 34

We consider the new divisor 43 and the new remainder 34,and apply the division lemma to get

43 = 34 x 1 + 9

We consider the new divisor 34 and the new remainder 9,and apply the division lemma to get

34 = 9 x 3 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 8562 and 5317 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(43,34) = HCF(77,43) = HCF(274,77) = HCF(899,274) = HCF(1173,899) = HCF(2072,1173) = HCF(3245,2072) = HCF(5317,3245) = HCF(8562,5317) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8562, 5317 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 8562, 5317?

Answer: HCF of 8562, 5317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8562, 5317 using Euclid's Algorithm?

Answer: For arbitrary numbers 8562, 5317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.