Highest Common Factor of 9583, 3307 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 9583, 3307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9583, 3307 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 9583, 3307 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 9583, 3307 is 1.

HCF(9583, 3307) = 1

HCF of 9583, 3307 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 9583, 3307 is 1.

Highest Common Factor of 9583,3307 using Euclid's algorithm

Highest Common Factor of 9583,3307 is 1

Step 1: Since 9583 > 3307, we apply the division lemma to 9583 and 3307, to get

9583 = 3307 x 2 + 2969

Step 2: Since the reminder 3307 ≠ 0, we apply division lemma to 2969 and 3307, to get

3307 = 2969 x 1 + 338

Step 3: We consider the new divisor 2969 and the new remainder 338, and apply the division lemma to get

2969 = 338 x 8 + 265

We consider the new divisor 338 and the new remainder 265,and apply the division lemma to get

338 = 265 x 1 + 73

We consider the new divisor 265 and the new remainder 73,and apply the division lemma to get

265 = 73 x 3 + 46

We consider the new divisor 73 and the new remainder 46,and apply the division lemma to get

73 = 46 x 1 + 27

We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get

46 = 27 x 1 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 9583 and 3307 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(73,46) = HCF(265,73) = HCF(338,265) = HCF(2969,338) = HCF(3307,2969) = HCF(9583,3307) .

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Frequently Asked Questions on HCF of 9583, 3307 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 9583, 3307?

Answer: HCF of 9583, 3307 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9583, 3307 using Euclid's Algorithm?

Answer: For arbitrary numbers 9583, 3307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.