Highest Common Factor of 3309, 6440 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 3309, 6440 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3309, 6440 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 3309, 6440 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 3309, 6440 is 1.

HCF(3309, 6440) = 1

HCF of 3309, 6440 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 3309, 6440 is 1.

Highest Common Factor of 3309,6440 using Euclid's algorithm

Highest Common Factor of 3309,6440 is 1

Step 1: Since 6440 > 3309, we apply the division lemma to 6440 and 3309, to get

6440 = 3309 x 1 + 3131

Step 2: Since the reminder 3309 ≠ 0, we apply division lemma to 3131 and 3309, to get

3309 = 3131 x 1 + 178

Step 3: We consider the new divisor 3131 and the new remainder 178, and apply the division lemma to get

3131 = 178 x 17 + 105

We consider the new divisor 178 and the new remainder 105,and apply the division lemma to get

178 = 105 x 1 + 73

We consider the new divisor 105 and the new remainder 73,and apply the division lemma to get

105 = 73 x 1 + 32

We consider the new divisor 73 and the new remainder 32,and apply the division lemma to get

73 = 32 x 2 + 9

We consider the new divisor 32 and the new remainder 9,and apply the division lemma to get

32 = 9 x 3 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3309 and 6440 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(73,32) = HCF(105,73) = HCF(178,105) = HCF(3131,178) = HCF(3309,3131) = HCF(6440,3309) .

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Frequently Asked Questions on HCF of 3309, 6440 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 3309, 6440?

Answer: HCF of 3309, 6440 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3309, 6440 using Euclid's Algorithm?

Answer: For arbitrary numbers 3309, 6440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.