Highest Common Factor of 3665, 2362 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 3665, 2362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3665, 2362 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 3665, 2362 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 3665, 2362 is 1.

HCF(3665, 2362) = 1

HCF of 3665, 2362 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 3665, 2362 is 1.

Highest Common Factor of 3665,2362 using Euclid's algorithm

Highest Common Factor of 3665,2362 is 1

Step 1: Since 3665 > 2362, we apply the division lemma to 3665 and 2362, to get

3665 = 2362 x 1 + 1303

Step 2: Since the reminder 2362 ≠ 0, we apply division lemma to 1303 and 2362, to get

2362 = 1303 x 1 + 1059

Step 3: We consider the new divisor 1303 and the new remainder 1059, and apply the division lemma to get

1303 = 1059 x 1 + 244

We consider the new divisor 1059 and the new remainder 244,and apply the division lemma to get

1059 = 244 x 4 + 83

We consider the new divisor 244 and the new remainder 83,and apply the division lemma to get

244 = 83 x 2 + 78

We consider the new divisor 83 and the new remainder 78,and apply the division lemma to get

83 = 78 x 1 + 5

We consider the new divisor 78 and the new remainder 5,and apply the division lemma to get

78 = 5 x 15 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3665 and 2362 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(78,5) = HCF(83,78) = HCF(244,83) = HCF(1059,244) = HCF(1303,1059) = HCF(2362,1303) = HCF(3665,2362) .

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Frequently Asked Questions on HCF of 3665, 2362 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 3665, 2362?

Answer: HCF of 3665, 2362 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3665, 2362 using Euclid's Algorithm?

Answer: For arbitrary numbers 3665, 2362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.