Highest Common Factor of 3440, 6623 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 3440, 6623 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3440, 6623 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 3440, 6623 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 3440, 6623 is 1.

HCF(3440, 6623) = 1

HCF of 3440, 6623 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 3440, 6623 is 1.

Highest Common Factor of 3440,6623 using Euclid's algorithm

Highest Common Factor of 3440,6623 is 1

Step 1: Since 6623 > 3440, we apply the division lemma to 6623 and 3440, to get

6623 = 3440 x 1 + 3183

Step 2: Since the reminder 3440 ≠ 0, we apply division lemma to 3183 and 3440, to get

3440 = 3183 x 1 + 257

Step 3: We consider the new divisor 3183 and the new remainder 257, and apply the division lemma to get

3183 = 257 x 12 + 99

We consider the new divisor 257 and the new remainder 99,and apply the division lemma to get

257 = 99 x 2 + 59

We consider the new divisor 99 and the new remainder 59,and apply the division lemma to get

99 = 59 x 1 + 40

We consider the new divisor 59 and the new remainder 40,and apply the division lemma to get

59 = 40 x 1 + 19

We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get

40 = 19 x 2 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 3440 and 6623 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(59,40) = HCF(99,59) = HCF(257,99) = HCF(3183,257) = HCF(3440,3183) = HCF(6623,3440) .

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Frequently Asked Questions on HCF of 3440, 6623 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 3440, 6623?

Answer: HCF of 3440, 6623 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3440, 6623 using Euclid's Algorithm?

Answer: For arbitrary numbers 3440, 6623 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.