Highest Common Factor of 3353, 2068 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 3353, 2068 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3353, 2068 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 3353, 2068 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 3353, 2068 is 1.

HCF(3353, 2068) = 1

HCF of 3353, 2068 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 3353, 2068 is 1.

Highest Common Factor of 3353,2068 using Euclid's algorithm

Highest Common Factor of 3353,2068 is 1

Step 1: Since 3353 > 2068, we apply the division lemma to 3353 and 2068, to get

3353 = 2068 x 1 + 1285

Step 2: Since the reminder 2068 ≠ 0, we apply division lemma to 1285 and 2068, to get

2068 = 1285 x 1 + 783

Step 3: We consider the new divisor 1285 and the new remainder 783, and apply the division lemma to get

1285 = 783 x 1 + 502

We consider the new divisor 783 and the new remainder 502,and apply the division lemma to get

783 = 502 x 1 + 281

We consider the new divisor 502 and the new remainder 281,and apply the division lemma to get

502 = 281 x 1 + 221

We consider the new divisor 281 and the new remainder 221,and apply the division lemma to get

281 = 221 x 1 + 60

We consider the new divisor 221 and the new remainder 60,and apply the division lemma to get

221 = 60 x 3 + 41

We consider the new divisor 60 and the new remainder 41,and apply the division lemma to get

60 = 41 x 1 + 19

We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get

41 = 19 x 2 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3353 and 2068 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(60,41) = HCF(221,60) = HCF(281,221) = HCF(502,281) = HCF(783,502) = HCF(1285,783) = HCF(2068,1285) = HCF(3353,2068) .

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Frequently Asked Questions on HCF of 3353, 2068 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 3353, 2068?

Answer: HCF of 3353, 2068 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3353, 2068 using Euclid's Algorithm?

Answer: For arbitrary numbers 3353, 2068 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.