Highest Common Factor of 3315, 706 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 3315, 706 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3315, 706 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 3315, 706 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 3315, 706 is 1.

HCF(3315, 706) = 1

HCF of 3315, 706 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 3315, 706 is 1.

Highest Common Factor of 3315,706 using Euclid's algorithm

Highest Common Factor of 3315,706 is 1

Step 1: Since 3315 > 706, we apply the division lemma to 3315 and 706, to get

3315 = 706 x 4 + 491

Step 2: Since the reminder 706 ≠ 0, we apply division lemma to 491 and 706, to get

706 = 491 x 1 + 215

Step 3: We consider the new divisor 491 and the new remainder 215, and apply the division lemma to get

491 = 215 x 2 + 61

We consider the new divisor 215 and the new remainder 61,and apply the division lemma to get

215 = 61 x 3 + 32

We consider the new divisor 61 and the new remainder 32,and apply the division lemma to get

61 = 32 x 1 + 29

We consider the new divisor 32 and the new remainder 29,and apply the division lemma to get

32 = 29 x 1 + 3

We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get

29 = 3 x 9 + 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 3315 and 706 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(32,29) = HCF(61,32) = HCF(215,61) = HCF(491,215) = HCF(706,491) = HCF(3315,706) .

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Frequently Asked Questions on HCF of 3315, 706 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 3315, 706?

Answer: HCF of 3315, 706 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3315, 706 using Euclid's Algorithm?

Answer: For arbitrary numbers 3315, 706 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.