Highest Common Factor of 3269, 4166 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 3269, 4166 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3269, 4166 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 3269, 4166 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 3269, 4166 is 1.

HCF(3269, 4166) = 1

HCF of 3269, 4166 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 3269, 4166 is 1.

Highest Common Factor of 3269,4166 using Euclid's algorithm

Highest Common Factor of 3269,4166 is 1

Step 1: Since 4166 > 3269, we apply the division lemma to 4166 and 3269, to get

4166 = 3269 x 1 + 897

Step 2: Since the reminder 3269 ≠ 0, we apply division lemma to 897 and 3269, to get

3269 = 897 x 3 + 578

Step 3: We consider the new divisor 897 and the new remainder 578, and apply the division lemma to get

897 = 578 x 1 + 319

We consider the new divisor 578 and the new remainder 319,and apply the division lemma to get

578 = 319 x 1 + 259

We consider the new divisor 319 and the new remainder 259,and apply the division lemma to get

319 = 259 x 1 + 60

We consider the new divisor 259 and the new remainder 60,and apply the division lemma to get

259 = 60 x 4 + 19

We consider the new divisor 60 and the new remainder 19,and apply the division lemma to get

60 = 19 x 3 + 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 3269 and 4166 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(60,19) = HCF(259,60) = HCF(319,259) = HCF(578,319) = HCF(897,578) = HCF(3269,897) = HCF(4166,3269) .

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Frequently Asked Questions on HCF of 3269, 4166 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 3269, 4166?

Answer: HCF of 3269, 4166 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3269, 4166 using Euclid's Algorithm?

Answer: For arbitrary numbers 3269, 4166 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.