Highest Common Factor of 3852, 4151, 33031 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 3852, 4151, 33031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3852, 4151, 33031 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 3852, 4151, 33031 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 3852, 4151, 33031 is 1.

HCF(3852, 4151, 33031) = 1

HCF of 3852, 4151, 33031 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 3852, 4151, 33031 is 1.

Highest Common Factor of 3852,4151,33031 using Euclid's algorithm

Highest Common Factor of 3852,4151,33031 is 1

Step 1: Since 4151 > 3852, we apply the division lemma to 4151 and 3852, to get

4151 = 3852 x 1 + 299

Step 2: Since the reminder 3852 ≠ 0, we apply division lemma to 299 and 3852, to get

3852 = 299 x 12 + 264

Step 3: We consider the new divisor 299 and the new remainder 264, and apply the division lemma to get

299 = 264 x 1 + 35

We consider the new divisor 264 and the new remainder 35,and apply the division lemma to get

264 = 35 x 7 + 19

We consider the new divisor 35 and the new remainder 19,and apply the division lemma to get

35 = 19 x 1 + 16

We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get

19 = 16 x 1 + 3

We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get

16 = 3 x 5 + 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 3852 and 4151 is 1

Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(35,19) = HCF(264,35) = HCF(299,264) = HCF(3852,299) = HCF(4151,3852) .

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

Step 1: Since 33031 > 1, we apply the division lemma to 33031 and 1, to get

33031 = 1 x 33031 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33031 is 1

Notice that 1 = HCF(33031,1) .

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Frequently Asked Questions on HCF of 3852, 4151, 33031 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 3852, 4151, 33031?

Answer: HCF of 3852, 4151, 33031 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3852, 4151, 33031 using Euclid's Algorithm?

Answer: For arbitrary numbers 3852, 4151, 33031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.