Highest Common Factor of 928, 8482, 3338 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 928, 8482, 3338 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 928, 8482, 3338 is 2 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 928, 8482, 3338 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 928, 8482, 3338 is 2.

HCF(928, 8482, 3338) = 2

HCF of 928, 8482, 3338 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 928, 8482, 3338 is 2.

Highest Common Factor of 928,8482,3338 using Euclid's algorithm

Highest Common Factor of 928,8482,3338 is 2

Step 1: Since 8482 > 928, we apply the division lemma to 8482 and 928, to get

8482 = 928 x 9 + 130

Step 2: Since the reminder 928 ≠ 0, we apply division lemma to 130 and 928, to get

928 = 130 x 7 + 18

Step 3: We consider the new divisor 130 and the new remainder 18, and apply the division lemma to get

130 = 18 x 7 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 928 and 8482 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(130,18) = HCF(928,130) = HCF(8482,928) .


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

Step 1: Since 3338 > 2, we apply the division lemma to 3338 and 2, to get

3338 = 2 x 1669 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 3338 is 2

Notice that 2 = HCF(3338,2) .

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Frequently Asked Questions on HCF of 928, 8482, 3338 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 928, 8482, 3338?

Answer: HCF of 928, 8482, 3338 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 928, 8482, 3338 using Euclid's Algorithm?

Answer: For arbitrary numbers 928, 8482, 3338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.