Highest Common Factor of 8633, 5353 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 8633, 5353 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8633, 5353 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 8633, 5353 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 8633, 5353 is 1.

HCF(8633, 5353) = 1

HCF of 8633, 5353 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 8633, 5353 is 1.

Highest Common Factor of 8633,5353 using Euclid's algorithm

Highest Common Factor of 8633,5353 is 1

Step 1: Since 8633 > 5353, we apply the division lemma to 8633 and 5353, to get

8633 = 5353 x 1 + 3280

Step 2: Since the reminder 5353 ≠ 0, we apply division lemma to 3280 and 5353, to get

5353 = 3280 x 1 + 2073

Step 3: We consider the new divisor 3280 and the new remainder 2073, and apply the division lemma to get

3280 = 2073 x 1 + 1207

We consider the new divisor 2073 and the new remainder 1207,and apply the division lemma to get

2073 = 1207 x 1 + 866

We consider the new divisor 1207 and the new remainder 866,and apply the division lemma to get

1207 = 866 x 1 + 341

We consider the new divisor 866 and the new remainder 341,and apply the division lemma to get

866 = 341 x 2 + 184

We consider the new divisor 341 and the new remainder 184,and apply the division lemma to get

341 = 184 x 1 + 157

We consider the new divisor 184 and the new remainder 157,and apply the division lemma to get

184 = 157 x 1 + 27

We consider the new divisor 157 and the new remainder 27,and apply the division lemma to get

157 = 27 x 5 + 22

We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get

27 = 22 x 1 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 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 8633 and 5353 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(157,27) = HCF(184,157) = HCF(341,184) = HCF(866,341) = HCF(1207,866) = HCF(2073,1207) = HCF(3280,2073) = HCF(5353,3280) = HCF(8633,5353) .

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Frequently Asked Questions on HCF of 8633, 5353 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 8633, 5353?

Answer: HCF of 8633, 5353 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8633, 5353 using Euclid's Algorithm?

Answer: For arbitrary numbers 8633, 5353 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.