Highest Common Factor of 3343, 9273, 66460 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 3343, 9273, 66460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3343, 9273, 66460 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 3343, 9273, 66460 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 3343, 9273, 66460 is 1.

HCF(3343, 9273, 66460) = 1

HCF of 3343, 9273, 66460 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 3343, 9273, 66460 is 1.

Highest Common Factor of 3343,9273,66460 using Euclid's algorithm

Highest Common Factor of 3343,9273,66460 is 1

Step 1: Since 9273 > 3343, we apply the division lemma to 9273 and 3343, to get

9273 = 3343 x 2 + 2587

Step 2: Since the reminder 3343 ≠ 0, we apply division lemma to 2587 and 3343, to get

3343 = 2587 x 1 + 756

Step 3: We consider the new divisor 2587 and the new remainder 756, and apply the division lemma to get

2587 = 756 x 3 + 319

We consider the new divisor 756 and the new remainder 319,and apply the division lemma to get

756 = 319 x 2 + 118

We consider the new divisor 319 and the new remainder 118,and apply the division lemma to get

319 = 118 x 2 + 83

We consider the new divisor 118 and the new remainder 83,and apply the division lemma to get

118 = 83 x 1 + 35

We consider the new divisor 83 and the new remainder 35,and apply the division lemma to get

83 = 35 x 2 + 13

We consider the new divisor 35 and the new remainder 13,and apply the division lemma to get

35 = 13 x 2 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 3343 and 9273 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(35,13) = HCF(83,35) = HCF(118,83) = HCF(319,118) = HCF(756,319) = HCF(2587,756) = HCF(3343,2587) = HCF(9273,3343) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 66460 > 1, we apply the division lemma to 66460 and 1, to get

66460 = 1 x 66460 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66460 is 1

Notice that 1 = HCF(66460,1) .

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Frequently Asked Questions on HCF of 3343, 9273, 66460 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 3343, 9273, 66460?

Answer: HCF of 3343, 9273, 66460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3343, 9273, 66460 using Euclid's Algorithm?

Answer: For arbitrary numbers 3343, 9273, 66460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.