Highest Common Factor of 936, 3029, 8096 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 936, 3029, 8096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 936, 3029, 8096 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 936, 3029, 8096 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 936, 3029, 8096 is 1.

HCF(936, 3029, 8096) = 1

HCF of 936, 3029, 8096 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 936, 3029, 8096 is 1.

Highest Common Factor of 936,3029,8096 using Euclid's algorithm

Highest Common Factor of 936,3029,8096 is 1

Step 1: Since 3029 > 936, we apply the division lemma to 3029 and 936, to get

3029 = 936 x 3 + 221

Step 2: Since the reminder 936 ≠ 0, we apply division lemma to 221 and 936, to get

936 = 221 x 4 + 52

Step 3: We consider the new divisor 221 and the new remainder 52, and apply the division lemma to get

221 = 52 x 4 + 13

We consider the new divisor 52 and the new remainder 13, and apply the division lemma to get

52 = 13 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 936 and 3029 is 13

Notice that 13 = HCF(52,13) = HCF(221,52) = HCF(936,221) = HCF(3029,936) .


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

Step 1: Since 8096 > 13, we apply the division lemma to 8096 and 13, to get

8096 = 13 x 622 + 10

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 10 and 13, to get

13 = 10 x 1 + 3

Step 3: We consider the new divisor 10 and the new remainder 3, and apply the division lemma to get

10 = 3 x 3 + 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 13 and 8096 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(8096,13) .

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Frequently Asked Questions on HCF of 936, 3029, 8096 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 936, 3029, 8096?

Answer: HCF of 936, 3029, 8096 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 936, 3029, 8096 using Euclid's Algorithm?

Answer: For arbitrary numbers 936, 3029, 8096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.