Highest Common Factor of 3268, 4511 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 3268, 4511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3268, 4511 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 3268, 4511 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 3268, 4511 is 1.

HCF(3268, 4511) = 1

HCF of 3268, 4511 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3268, 4511 is 1.

Highest Common Factor of 3268,4511 using Euclid's algorithm

Highest Common Factor of 3268,4511 is 1

Step 1: Since 4511 > 3268, we apply the division lemma to 4511 and 3268, to get

4511 = 3268 x 1 + 1243

Step 2: Since the reminder 3268 ≠ 0, we apply division lemma to 1243 and 3268, to get

3268 = 1243 x 2 + 782

Step 3: We consider the new divisor 1243 and the new remainder 782, and apply the division lemma to get

1243 = 782 x 1 + 461

We consider the new divisor 782 and the new remainder 461,and apply the division lemma to get

782 = 461 x 1 + 321

We consider the new divisor 461 and the new remainder 321,and apply the division lemma to get

461 = 321 x 1 + 140

We consider the new divisor 321 and the new remainder 140,and apply the division lemma to get

321 = 140 x 2 + 41

We consider the new divisor 140 and the new remainder 41,and apply the division lemma to get

140 = 41 x 3 + 17

We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get

41 = 17 x 2 + 7

We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get

17 = 7 x 2 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 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 3268 and 4511 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(140,41) = HCF(321,140) = HCF(461,321) = HCF(782,461) = HCF(1243,782) = HCF(3268,1243) = HCF(4511,3268) .

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Frequently Asked Questions on HCF of 3268, 4511 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 3268, 4511?

Answer: HCF of 3268, 4511 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3268, 4511 using Euclid's Algorithm?

Answer: For arbitrary numbers 3268, 4511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.