Highest Common Factor of 8002, 2327 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 8002, 2327 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8002, 2327 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 8002, 2327 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 8002, 2327 is 1.

HCF(8002, 2327) = 1

HCF of 8002, 2327 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 8002, 2327 is 1.

Highest Common Factor of 8002,2327 using Euclid's algorithm

Highest Common Factor of 8002,2327 is 1

Step 1: Since 8002 > 2327, we apply the division lemma to 8002 and 2327, to get

8002 = 2327 x 3 + 1021

Step 2: Since the reminder 2327 ≠ 0, we apply division lemma to 1021 and 2327, to get

2327 = 1021 x 2 + 285

Step 3: We consider the new divisor 1021 and the new remainder 285, and apply the division lemma to get

1021 = 285 x 3 + 166

We consider the new divisor 285 and the new remainder 166,and apply the division lemma to get

285 = 166 x 1 + 119

We consider the new divisor 166 and the new remainder 119,and apply the division lemma to get

166 = 119 x 1 + 47

We consider the new divisor 119 and the new remainder 47,and apply the division lemma to get

119 = 47 x 2 + 25

We consider the new divisor 47 and the new remainder 25,and apply the division lemma to get

47 = 25 x 1 + 22

We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get

25 = 22 x 1 + 3

We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get

22 = 3 x 7 + 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 8002 and 2327 is 1

Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(47,25) = HCF(119,47) = HCF(166,119) = HCF(285,166) = HCF(1021,285) = HCF(2327,1021) = HCF(8002,2327) .

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Frequently Asked Questions on HCF of 8002, 2327 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 8002, 2327?

Answer: HCF of 8002, 2327 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8002, 2327 using Euclid's Algorithm?

Answer: For arbitrary numbers 8002, 2327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.